curve sketching based on limits (3 examples)

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We will see how to sketch a cure based on the given limit conditions. This is a typical topic when we start learning calculus 1 and AP calculus AB. We will go over how to determine vertical asymptotes and horizontal asymptotes from the limit. Subscribe for more calculus tutorials 👉 #justcalculus

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Комментарии
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Wow! I love what you did with the last example. That's a nice way to visualize odd functions.

erroraftererror
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Should you have to be more rigorous for a test:
Odd function means that f(-x) = - f(x)
Input the (-x) values into the given limits and the result of the limit will simply change sign.
In this case you have to be careful when evaluating the limits from one side because approaching 2 from the left is slightly smaller than 2 in absolute value (think 1.9999...) so switching the sign of the input means you now have and therefore approach -2 from the right on your new limit, and the same when x is approaching 2 from the right, (-x) will be approaching -2 from the left.

bernizubi
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hey bprp! how can i contact you? I was experimenting with an idea of one of your old videos and i would like to tell you more about it, i have written a whiteboard full of it so it would be great if i can somehow send you a picture.

galaxyyy
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Find the limit :
limit n tends to infinity (n!/n^n)^1/n

SaurabhKumar-jodp