Do You Know The 𝗖𝗼𝗿𝗿𝗲𝗰𝘁 𝗔𝗻𝘀𝘄𝗲𝗿 ?
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- čas přidán 3. 07. 2024
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0.9 bar question is given in NCERT BOOK CLASS 9 WHOSE VALUE IS 1
@@sandeepapandit9573 9th dhang se padha hota to pata hota aapko ....... hai ncert class9 me ye
Yeh ncert cooks in miscellaneous. people who solved intext exercises say it's easy 🤡
@@sandeepapandit9573miscellaneous khol ke dekh liya kar
Bilkul sahi kaha bhai 😅@@rhythmvaishnav7402
Sahi baat hai😂😂@@rhythmvaishnav7402
The logical proof of " 0.999..=1" is that there exists no number between 1 and 0.999...and hence these two are exactly same
Abey tu yaha bhi mila😭
@@Athreya-dc1vy
😭😭😭 Likes ka bhooka
But shouldn't there be a real number between any two numbers on number line?
@@VinitKr086
*Between any two distinct numbers
If there aren't any real numbers between two numbers then those numbers aren't distinct
@@VinitKr086 yes, there should be a real number btwn any two real numbers. Since there is no real number btwn 0.9bar and 1, they must be equal
Mathematically, `0.9̅` is equivalent to 1. This can be shown by the following reasoning:
Let x = 0.9̅
Then, 10x = 9.9̅
Subtracting the first equation from the second:
*10x - x = 9.9̅ - 0.9̅*
*9x = 9*
*x = 1*
Thus, [0.9̅] = 1
class 9 concept
Dost Mai itna andar kyu gussu .9 is definitely closer to 1 hence if assumed it has to be 1 not 0
@@naruto7034Bhai do jagah bhot andar tak ghusna padta hai , ek maths aur doosra mujhe batane ki zarurat nhi hai
Its actually 0.9999999999..... So multiply by isnt possible you doesn't know it is an infinite digits
If we subtract both equation an (infinite - infinity) indeterminate form appears...so this process is not valid at all
There are Two explanations:
First one is related to Class 9th NCERT where we use the method to find the rational expression of non terminating repeating numbers
Second one is logical, 0.9bar is equal to 1 because there exists no real number between 0.9bar and 1 and if there exists no real number between two numbers then numbers are equal so 0.9bar is equal to 1
Your whole concept regarding this is wrong
0.99999.... is never 1 it is tending to 1-
And this is the basic concept of limits
But they think they are mathematician...so we can't argue with them 😅😅😅@@sagnikroy3633
@@sagnikroy3633dude did u not watch the video?
@pulsar2977 Yes, I watched, and you better go and study limits first
@@sagnikroy3633that's not really a limit.
If we go by limit that is if we tend x to 1- and GIF is outside the function then it gives ans 0
Lim. [x] = 0
x approaches 1-
0.9 bar is what? It is x approaching to 1 from left hand side. So if go by this way the ans will be 0.
4:22 aise to agar domain mera real number k jagah integer ho to 0 = 1 ho jayega kyoki "soch he nahi paa rahe" koi integer jo 0 aur 1 k beech me ho, to usse 0=1 thode he ho jayega?
ye samajh nahi aya.
agar koi doosra number system le liya jaaye, to ho sakta hai 0.99999... aur 1 k beech me koi number exist kare?
converging GP wala sabse aasaan lagta hai samajhne me mujhe to agar reason karna ho to.
lekin, lekin, lekin.... aapka logic se 0.4999999... = 0.5 predict kar liya tha to i guess intuitive ti tha.
thank you.
Because 0.9 bar is non terminating there will be no other value bw 0.9 bar and 1 so it can be treated as 1 only and GIF of 1 is 1.
Simplest explanation i could think of. Do lmk if incorrect.
soch pa rahe ho ? -> nahi -> kyunki hai hi nhi 4:30
WAS EPIC 🤣💀
Ye kya galat time stamp hai bro 10 sec pehle dalo 4:20 is more accurate
for all practical purposes,0.9 bar=1 is indeed true,but strictly speaking its incorrect
i will explain it in two ways
firstly lets consider L=1-(0.9 bar)
0.9=9/10
0.99=99/100 and so on
(0.9bar=(999.../10^n)) where n is very large
0.9bar=1-(1/10^n) now mostly everyone just applies limit n->infinity and conclude that these are indeed equal,but if we properly use epsilon delta definition,we will see that lhs would only "tend" towards rhs in the long run,but they are not equal
second way is just visualizing this graphically,consider the graph of (0.1)^n,no matter how large the value of n is,this graph will never touch x axis(y=0),hence 0.9bar
Brother it's exactly equals to 1 even by Epsilon delta definition
It is equal to 1 it does not tend to 1. 1-1/10^n tends to 1 as n tends to infinity and hence the "Limit" Is 1. Lim as n tends to infinity of 1-1/10^n is equal to 1. Limit of anything does not "tend" anywhere. It is equal to some value or it does not exist
Okay ... You meant 0.9 bar is less than 1 then by density of real numbers there must exist a real number that is greater than .9 bar and 1 .. can you tell me even a single such real number????
Bro your "n" stuff starts the problem from itself. n should not be a very large number, but maybe ∞. Because bar shows infinite distribution after decimal.
@@sarthaktiwari3357 ever heard of the word adjacent?. Your concept of there exists some real number breaks down when you're taking a number that is in infinity form.. like 0.99999.....
i think when we are dealing with infinities of any kind the situation becomes more philosophical and less logical
No, logic is still there abundantly but I get your point 👍
Sir , Aap ne AOD,limits, functions ki kuchh video hide kr diye h kiyu sir ? Pls reply me
I salute your knowledgw and explanation 🎉
Sir if we take two consecutive number then no number lie between it the given number we can say tends to 1 from lhl so its gif should be 1
Box ki property hoti - x ka gif -1-[x] ke equal hota usse zero aa rha hai. But such problems never come jee jab ayengi tabhi pata chalega.
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Hello Big Guduji, from which original verb you've found da word "explaination' as noun ?
Isn't it "explanation"?
If there are 20 buildings in rows , then if we try to find a building in any two buildings we get a building
Except consecutive buildings or one buildings two times itself
So this implies buildings may be consecutive or a same building twice
So my doubt is both number 0.9bar and 1 can be consecutive sir
Please clear doubt.
so if 2=2 cuz there is no real nom between them
so if we subtract 2-2 we get zero
but if we subtract 1-0.9 bar we won't get zero . that does means they are not equal and hence its greatest integer will be zero
4:22 aaj pata chala iss channel ka naam bhannat maths kyu hai dimag bhanna gaya ye sunn k
Awesome explanation. Very informative...
Just because the difference is really really small, do NOT mean they are equal. GiF me equal ya less than the orginal number aata hai, na ki greater than the orginal number.
If we subtract both equation an (infinite - infinity) indeterminate form appears...so this process is not valid at all
0.9bar is equal to 1
Yeh recurring decimal number ka concept west bengal board me 6th standard ke syllabus me hai.
Sir, i can't accept that 0.99999.... = 1 because it will become 1 when 0.00000....1 added to 0.999999.... . So their is difference of 0.000....1 between two numbers.
It will be zero only
How did you find 0.00000....001 Is the difference
We can also prove it as:
(1/3)×3 = 1 ...(i)
0.3333... × 3 = 0.9999... ...(ii)
But (1/3) = 0.3333...
Therefore, by equations (i) and (ii),
0.9999... = 1
Yes that's what we did in 9th
@@adityagoyal7110 wbse me class 6 me hai
Wrong proof first are you sure than 1/3 is exactly equal to 0.3bar
@@Aaravs21 Yep! 1/3 = 0.3333333.....
@@anamitrakundu56 When I was in class 7th, I just thought about this proof....
[I saw the previous video of this channel also on the same topic]
Perfect knowledge .
Sir toh fir kisi function ki range me open 1 or closed one kyu hi likhte hai?
Very Nice 💯 Explanation Thanks 🙏 Sir Ji
what about right and left nieghbours of a number
It is so easy to understand for those people who like infinite series.
sir does this mean that 1^- < 0.9 bar ?
Doubt : Sir 0.999999........ aur 1- (Left hand limit of 1) Mei kya difference hai ????? Kya yeh notation same hai ??? 💥💥
0.999999…… -1=0
Sir kuch din pehlhi yeh sawal mere man mein aya aur dekhiye ajj agaya video,mai ek chiz notice kar raha hoon ki jo mai sochta hu abb abb wo mere sath hone laga hai,kuch powers agaya hai seriously
It is humble request to you Sir to discuss some tough arithmatic problems as well.
Why are you deleted function and relation old series please sir tell me
Sir by trick 9-0÷9 =1
•
• • true...😊
This is not concept of class 9 real numbers but It is of class 11 GIF see this [ ] sign.Don't mix it with real numbers.GIF stands for greatest integer function.
Thanks sir, it was new for most of us.
Aise 1-¹ and 1+¹ is also 1 there will be no limits?
Various papers were published on this questions and to the conclusion the gif of 0.9 bar gaves 1 because 0.9 bar is actually 1 itself and it's gif gaves 1. I asked this from my ioqm teacher and he replied same
I'm just asking whether 0.000000.......1 will not be there between 0.9bar and 1?
ok sir i agree your explanation,thats a very excellent question that i ve ever seen
but i have a doub,t you said if the two numbers are equal so there is no real number between them ,for ex: 2=2
so if i multiply 1 on both sides
2(1)=2(1)
2=2
lhs=rhs
if i multiply 2 on both sides
2(2)=2(2)
4=4
lhs=rhs
similarly: 0.9(bar)=0.1(as u said )
if i multiply 1 on both sides
0.9(bar)(1)=1(1)
0.9=1
lhs =rhs
if i multiply 2 on both sides
0.9(bar)(2)=1(2)
1.9999999999.....................8 =2
1.98 =2 (where 9 have a bar)
so as u said there is no number between two equal number so how it is contain 1.999bar) between 1.98 and 2
sir if u r seeing it sir please make a specific video and explain it please sr
thanks for 69 likes (also reading this )
the entire concept of "bar" is that it never ends, there are infinite 9s after the decimal point, so 8 never comes, it's only 1.999999999999999... all the way through, there is no end where 8 exists
Great explanation Sir
Aman sir great🎉🎉✅️❤️✅️❤️✅️❤️
Great Explanation ❤
[0.9]=1 seems to be the mathematically repeating decimal [0.99999...]=1 simple proof of this concept . let x=0.999... Multiply both sides 10. Get ,10x=9.999... Subtract x from new equation 10x-x=9.999...- 0.999... 9x=9 divede 9 both sides. We get x=1. x=0.999... [x]=1. [0.9]=1 hence proof that.
Sir rational density theorem kya kahti h..
0.00000000...........1 ka differnce jo bahot bahot bahot minor hai jiska aprrox value natural number ayyega
Sir 12 start kr rha hu and maths my fav subject kya koi play list hai jisse mai advance level tk maths padh sakta hu ??❤❤❤
Sir aap kahan se , konsi book m dhoond lete h itni interesting cheeze
Value is 1^--.slightly less than 1.so greatest integer is zero.
SIR WILL YOU PLEASE MAKE A VIDEO ABOUT 'HOW TO MAKE GRAPH OF THE FUNCTION x^x'
Sir if .9bar is written up to six digit surely there exit one number between .9bar and 1 which is equal to= .000001
Lekin recurring ka matlab infinite hota hai
Sir is also applicable for integers, or it just for rational number??
I mean integers are also part of rational numbers but still
Your justification isn't sufficient for it
I'm really confused 🤯🤯
Agar ye explanation maan liya jaye to phir GIF ka Har integral points per limit exist karega, aur wo continues bhi hoga.
Sir i would like to question your logic by
Agr 0.9bar and 1 ke bich mein koi real no nhi hai toh 0.9 bar=1 ok
But then if 0.9bar=1 so 0.9999999999.......................at last 8 and 1 ke bich mein kon sa real no hai
Kyuki 0.9bar and 1 equal hai
Agr nhi hai toh kya ye no. Bhi 1 ke equal hoga aise toh hae decimal 1 ke equal hoga
sir infinite gp ke sum se bhi kr skte hain
Sir any authentic source of this?
mere dimagh mein mai yeh soochata hoon kay
epsillon yah kay dx jaise koi number nahin balke conceptual quantities hotay hain maths aur physics mein, joh zero se jyada aur koi bhi real number se kam hotay hain, inkoh aap relate kar sakatay ho 0.9999.... se
epsillon = dx = 1 - 0.9999....
Why not it be considered as the largest number between 0 and 1? You see there are two possibilities when there is no real number between two real numbers:
1. The two are same
2. This case
I like GP explanation more because if this number is a representation of that infinite GP, then its OK.
Ok I can agree with it but i have a another question that's
2+2 = 4, then
1.9 bar + 1.9 bar =3.9.....8 but not equl to 4 can you explain this question.........
Kuch jyada hi pyar se padhate ho ap sir.
if we assum infinity as a constant then there is a number we gets when we subtract 1 and 0.9 bar
that is
1-0.9bar = 10 ki power - infinity
1-0.9bar = 10^(-)infinity
Infinite series se bhi iska proof hai.
But sir aap jo explanation diya woh bas ek intutive idea mathematically proof also important here
Then how
limit x tends to 0- step x = 0
X tends to 0- means there is no number between 0 and 0-
Once explain sir
Sir i have a doubt tha if
In LCD we take gif of 1 ( negative ) lim x tending to 1 (negative)
That we take as 0
Sir vo to galat ho jayega na
To i dont except that
Ya fir in dono me farq kya hai ...?
Btado sirrr ....
Idiot both are different things.
Make it in simple way
The given expression
(9-0)/9
=9/9
=1
Sir ye question mere man me bahot din se tha pr ye mujhe pata h kya isko limit ka use krke explain Kiya ja skta h ??
Correct explanation
Senses Pro digital board lena chahiye koi iske bare me jante ho
Main jitne bhi Sir se mila hu ajtak Aman Sir mera favourite Sir hain
Lovely Sir ❤
Agar sir hum natural number ki baat kare toh 2 and 3 ke beech main bhi koi number nahin aata hai so 2= 3 hoga kya
2.1,2.2,2.3.......left the chat😂😂
We can take mean to get a no. Btw 1 and 0.9bar
There exists infinite number between o.9 bar and 1 so how it is possible?
sir please some questions should be posted in app for free pyqs
Sir to kya a+ and a- is equal to a
Aur sir [0-] = -1 kaise aaya
.999------ is not an exact number but 1 is an exact
number.How can you represent .999--------- on number line. When you will represent it on number line,you will never reach 1 in your whole life.Then,how can they be equal.
Add .999-------+.999--- .what
will be the sum.Please,try
@@ashtavakraphysicsclasses1213
This is happen due to infinity
I am with you
0.9999••• infinity ki tarah hai, aur infinity to koi number nahi hota, to ham use number kaise consider kare?
Ma ksm gajab ka proof diya sir.
Gp method is wrong.When u take the lim n-> inf 1-1/10^n u will end up with same expression,i.e,0.9bar
With due respect sir ,if you have time ,please elaborate it for weak students😊
I did it through GP and I didn't found anything abnormal in it
😱😱 point of view!
Thank u sir
Sir apke function Trigo ITF ke lec hied ho gaye he kese dhekhe plz help immediately 💀❌❌❌❌
sir how to join ur 11th Math class
Sir tab aap bataiye ki 1 ke just adjacent aur usse kam konsi value hai ?
0.9bar8
@@shailnair2243 well you are not allowed to use bar as that.
@@shailnair2243 also 0.9 bar 8 is same as 0.9 bar
1 should be the least upper bound of 0.999...
Here we take the greatest integer function of 0.999....
Since 1 is the lea least upper bound of 0.9999... which is integer also .
So Great integer function of 0.9999... is 1
My question is we know that there exists no real no. Between 0.9bar and 1.0 but it's like saying that one thing is equal to another thing because there's nothing in between but those two things could be adjacent to each other. So 0.9999... exist somewhere on the number line and 1.0000 is the next value on the number line but we can't say that both are equal. The definition that there ALWAYS exist some real no. Between 2 real numbers Is not valid when we are taking no. In the form of infinity like 0.99999......
Number line is continuous, not discrete to day things are adhacent
Just because infinity is not defined, while proving we take 1 extra 9 beacuse of infinity.
1\10 power infinity??
Soo with this logic if i say that there is no natural numbers between 1 n 2 they are equal? Also that point number is wrong cuz if u put an 2 as a power on negative number its fine but if u put 1.9bar then its undefined 😑😑🙄🙄 then how is 1.9bar equal to 2 if one is undefined on a negative number s power also on the basis of this an adv question was formed
0.9bar means infinite 9s, so it must be infinitely close to 1 such that no real number exist between them, however, they are not equal. Someone please clear my doubt.
But what is 0.9bar + 0.1bar
@@shivanshprithu184 1.12?
If two stone is placed just one after one then there is no stone between them. Is that mean two stone is in same position??
No, but we can surely add another stone in between those 2 stones
The stones are not 2 but 1
@@C.I.D_Inspector_PJ_Mask no I mean if two stones touches themselves then?
Sir 0.9999...... or 1 ke bich me 0.0000000....1 hota hai pls sir mera confusen dur karo.... ye number to bich me hai ,sir your support 🤓
Sir, please 😟 make a video on the question :
Q. The equation (x ^ 2 + x + 1) ^ 2 + 1 = (x ^ 2 + x + 1)(x ^ 2 - x - 5) for x \in (- 2, 3) will have number of solutions,
(1) 1. (2) 2. (3) 3. (4)Zero.
Sir I waiting for your video. 🙂🙂🙂🙂🙂
x=•99999----
Donot muliply by 10 on both sides
But add 10 times,then show,x is 1.Multiplying by 10 or adding 10 times must give same result.
Please reply.
Whole life will spend in answeing.
This is valid sol. That 1 write is 0.99999
Now 099999=0.9+0.09+0.009+0.0009+0.00009
Thus common ratio is o.1
Then 0.9/1-01=1that's it
Check the derivation of this formula
It's not proof. It just means you're not able to find a realmnumber between 0.9- and 1.
Then why is lim x-->1-
[x] = 0 ? it should be 1
This limit does not exist, if we take RHL it will give 1 and LHL will give 0.
1- refers to number smaller than 1. Here, we simply don't know whether 0.9 bar is smaller than 1 or not. Then how can you say its GIF is zero?
@@devcoolkolHe said about tending to '1-' not '1'.
You can say that x=0.9999999998 something, but not 0.9bar as 0.9 bar is equal to 1, here it is x->1- i.e. a number less than 1, here 0.9 bar is equal to 1 so we can't tend it to that.
@@devcoolkol i am not saying about limit i am only talking about LHL
there are infinitely many 9s in 0.9999..., and the moment you start comparing infinities, you will be in a dilemma :) I mean saying that 0.99999... and 1 to be equal, according to me, is like saying infinity=infinity+1, and again you have compared two infinities:) i may be wrong so pls correct me!
According to me you are incorrect. First of all infinities are not comparable and not relevant to this as they are just a different topic. Here, we say that if two numbers are same there will be no numbers between them. And 0.9 bar and 1 have no number between them. This has no connection with infinities
@@digitalogy2807 1. I just told the same thing, that you can't compare infinites or else you will be in a trap.
2. how many 9s are there in 0.9"bar"? too many, right? I mean how can you prove me that there are no numbers between 0.999... and 1, by just saying so? You can not "count" how many 9s are there in 0.9"bar", which somewhat relates to uncountability of digits in infinity, at the end infinity is just a depiction of large quantity, not a number! Although I agree that infinity is a different topic, but why not relate here... pls tell where i am wrong :)
that's exactly my thought
No, 0.9999... is not infinity. It has absolute value of 1. Only that infinite number of 9's can be used after decimal point to express 1.