Infinite limits intro | Limits and continuity | AP Calculus AB | Khan Academy
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- čas přidán 21. 01. 2013
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Here we consider the limit of the function f(x)=1/x as x approaches 0, and as x approaches infinity. Created by Sal Khan.
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Khan Academy Has been there for me since I was in 8th grade. *Its like listening to Dwayne Johnson teaching me Math* 😂😂😂Its really fun, entertaining and prevents me from procrastinating.
IT'S THIS EASY? Whats all the bs on other sites about dividing by the highest power in the denominator then? HOLY FRICK I LOVE KHAN ACADEMY
:)
+whysomad Because for example,
(4x^2-1)/(4x^5-54) is different from 1/x
that's different. This video is about infinite limits. what you stated was as the limit approaches infinity.
where have you been ALL of my life.. I really would have paid attention in class back then seeing something like this back then
Thanks sir... My book confused me a lot... But you made me to understand well.. And now I can confidantly read my book
it's very easy than I expected Thank Khan Academy... LIKE YOU REALLY
Thanks man! I finally understood the concept :D
Sal I really, really appreciate what you guys are doing at Khan Academy. I'm a sophomore in high school taking geometry and chemistry, but I want to read the Feynman Lectures on Physics, requiring some knowledge of calculus. By perusing your videos on calculus, it is evident I need to learn trigonometry to learn calculus. So I have to learn trig to learn calculus to fully undersand feynman's beautiful explanations of physics, and you guys are making that so much easier, and more fun. I thank you
(cont.) I am currently finished with exponential functions, growth, decay, and that bacteria problem, ready to move on. Learning from you has been very enriching so far, again I thank you. After trig i'll move onto calculus and probably finish that by the end of summer, and will be able to learn physics from the master. It's also great that you guys have these videos in over a dozen videos. The majority of 7 billion people can understand your videos. that's just great.
Very pleasant voice.
best describtion i've heard for infinity so far is that it's a word we use when we don't know.
f of x would be approaching 1/infinity so in a sense f of x would be approaching 0, but it is impossible to reach it, it is like halving the distance between 2 points infinitely the distance would never reach zero, but it would continually get smaller and smaller, this is the same concept that is used to explain the function f of x approaching infinity because infinity is not finite, so nothing can reach it.
I just love asymptotes!
the whole thing was like travelling to africa but arriving in antartica, quite complicated to uunderstand but with more than 2 plays I guess i'll understand, thanks math genius ! ;))
does the concept of infinity include the entirety
What you're talking about are infinitesimals, and they don't exist in the real numbers, but there is a number system that does include them, which is the extended real number line - but this number system isn't the conventional one that we use.
The problem with saying that x= 1/inf is because infinity doesn't exist in the real number line either, which is why we have limits to get over this hurdle.
It isnt the same as zero, but it is commonly approximated to zero because it is infinitely close to zero like 10x10 to the negitive infinite, it is infinitely close to 0 but will never at any point be zero
Please upload videos for Dravidian i.e தமிழர்கள் in Tamil for better understanding
lets just say i have a log function and the closer y gets to 5, y will increase by a lot and when y is 5, x is infinity. How do I graph that in excel
Division is an elementary algebra thing you do to real numbers, and infinity isn't a real number. Intuitively you could think of it that way, but that's not exactly rigorous (unless you read some nonstandard analysis books).
No, it can't. You're thinking of the indeterminate form 0/0. 1/0 is undefined in the sense that it's +inf and -inf simultaneously. It's not any number of finite values though.
1/0 can be anywhere a straight line up and down. So which 0 of the infinity are we talking about can be anything..
This says its for AP Calculus, but Im in Algebra 2? I need to understand this
Because that is the same as saying x=0
At 4:00 why cant we say that x= 1/infinity
paint
anyone here that goes to UTEP that wants to tutor me? lol.......honestly i don't understand my Calculus 1 professor, hopefully Khan Academy can help me understand all this :(
Hows Khan looks like?
Mean girls anyone?
no introduction?
Is this the same thing as the limit doesn't exist?
Not quite.
The limit from the left and the limit from the right exist but not the limit of the whole thing because the limit from the right and left aren't the same.
~:~
If this is negative this is negative 😅
Its not visible properly.........change the background