Limit Marathon? Let’s go!
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- čas přidán 13. 09. 2024
- This is your ultimate calculus lifesaver! In this video, I calculate 10 classical limits, covering the basic limit techniques. Everything is allowed... except for L'Hopital's rule! Enjoy this mini calculus marathon that will make you sweat!
10 Limits at Infinity: • 10 Limits at Infinity
L'Hopital's Starter Pack: • L Hopital Starter Pack
Calculus Playlist: • Calculus
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The answer to question 8 is -1/2
Yes, I agree.
Yes, you forgot the 1 + sqrt(1+x) on the bottom (introduced by multiplying by conjugate form).
Which gives an extra factor of 2 on the denominator.
🤩
Everyone: *I need a better math teacher, who can present complicated material in an easy to understand way*
Dr Peyam: *Search no more*
Seriously, his way of explaining really is that helpful.
The only other person I would recommend teaching this stuff is Professor Leonard. His lectures are easy to understand but you must take notes and pay close attention to what he is saying.
@@123ucr never heard of that channel. I'll check it out. Thanks
Dr. Peyam is a lifesaver! Thank you for making math so fun for us all!
Here's a life hack for you, if you never learned L'Hopital's rule in class DON'T USE IT ON THE FINAL!!!!
Just prove it on the test. Bit of analysis.
@@moshadj Huge flex!
btw, legit question: why is "H hat" for L'H rule?
Oh because it’s L’Hôpital, so you combine the H with the ^ of ô
@@drpeyam ohh boy... 😂
The answer for the 8 th question is not -1 but -1/2
He did an error there he forgot to bring the denominator to the next step in
14:10
He multiplied the conjugate on the numerator but forgot it in the denominator.
czcams.com/video/cJOsI4uRlFQ/video.html
Thanks for this, I got so confused lol
Waiting for Dr. Peyam's comment about 8th limit. :)
There you go.
"as Adele says, hello from the other side" HAHAHAH love it!!
Now a marathon of limits calculated using epsilons and deltas.
I like that!
@@drpeyam Oh yes. I still struggle with the eps-delta approach. That would be awesome!
So relaxing to watch this
Peyam using his cellphone and producing very watchable (good video/audio quality) content
meanwhile my university:
"let's use that weird camera from the basement we forgot to throw away and combine it with some random broken microphone
that's then placed under a jacket in the opposite corner of the room... also let's encode it with 100kbit for the overall bitrate :)"
I love your videos!
That is a great "cheat sheet" - and nothing keeps you from remembering - without writing down
Nice. Again I've learned something.
Thank you, doctor.
Thank you!
In the num two limit you could have factored x-9 as (sqrtx +3)(sqrtx -3) and then you cancelled out sqrtx -3 then only sqrtx + 3 = sqrt(9) + 3 = 3+3 = 6 btw you are doing a great job 👍
This video was uploaded *while* I was taking my (multivariable) calculus final.
You had a final exam on December 1st???
@@jamesbentonticer4706 i have one on December 15th
14:30 shouldn't there be 1+sqrt(1+x) in the denominator, yielding 1/2 as the answer?
theres definitely a mistake there, the denominator is supposed to be 1+x+sqrt(1+x), with the numerator being -1 the answer should be -1/2
I got all of them correct!!!
In Question 8, why didn’t you multiply the denominator by the conjugate as well?
You dont need in order to solved the limit
@@galo5818 why’s that
@@Happy_Abe Oh no sorry I was saying another thing.
Yeah, what you are saying is true he forgot it, that is a mistake of the video, the answer would be -½.
@@galo5818 sounds good
Nice content
:Writes '= inf' on a math test
Test Marker: So you have chosen death.
For 6, I was a loser and used the taylor expansion for sin to eliminate the first term by multiplying by x^2.
0:15 Why are you banning the Hamiltonian operator from quantum mechanics?
Beautiful without lhopital
That's lifesaver for many 😀😀
Despite L Hospital rule saves your math life, we should not rely too heavily on it
How would we use lopitals rule if we hadn't learned it yet?
in 3.
shouldnt abs(x) become x and x in the denominator become -x ?
The result would stay the same..
The absolute value |x| of x is -x for x
In #3 you could've used the fact that cosine is an even function to eliminate the absolute value.
Excuse me sir .
The last question we say
Limit = infinity or
Limit does not exist
Yeah I did all of them🎉
Nice 👍
make one for linear algebra
There’s already one with 111 questions
Really .... In India ... These questions are basic one ..... Taught in grade 11 and too easy to come in JEE MAIN AND ADVANCED.
I love it.!
Very nice video. I believe in problem 8 you forgot the term 1+sqrt(1+x) in the denominator. The answer shoud be -1/2.
Dr peyam. Do you have videos about advanced skills on your area? Just for learn hard skills :)
Yes, partial differential equations playlist
Thanks for 10 lim(ka ) bottles. DrRahul Rohtak Haryana India
I know we shouldn't use L'hospital But if we apply it to question 9 at 17:15 wouldn't the answer becomes 3 ?
You can't use lopitals rule for that problem since the answer without lopitals form is not in indeterminate form.
A lot of limits can also be solved by de l'Hôpital's Theorem.
But that violates rule number 1 lol
@@drpeyam I'm sorry i didn't read the top section lol.
6:34 I saw that limit on Spivak
Why is L'Hôpital's rule not allowed?
To challenge your creativity
Omg so close to 60k subs 🤪😇🤩🥳😝😜
For question 3 wouldn't the denominator be a negative and the numerator being a positive resulting in cos(-π). Sorry for being nitpicky.
Why should the denominator be negative if |x| is in the numerator?
There's a limit on the left hand side of x on the denominator that should make it negative
For the 3rd one, we just note that cos is even, so cos(-x) = cos(x). So we can simply ignore the absolute value sign in this case
Sir, In the 2 ND limit the square root of 9 is ±3
Am I correct sir ?
No, square root of 9 is 3.
@@drpeyam
(3)²=9 and (-3)²=9
Then How Sir please explain
@@amanigandan Square roots are always positive
now prove them all
9 out of 10 is still A ;)
I'm concerned about the end of Q2 when you say sqrt(9) + 3 = 6, without reference to the other possibility where sqrt(9) = -3
Are you just taking positive square roots for this video, or is it because the function is undefined in the negative square root case anyway?
840th viewer..... Dr Peyam the 8th question....
for bprp this is a sprint not a marathon...JK good job!
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