calculus 1, graphical limits (part 2, limit at infinity & horizontal asymptotes)

In this free calculus lesson, we will see how to determine the limits of a function when x approaches infinity or negative infinity from a graph. We will also discuss the idea of the horizontal asymptotes. These are must-know examples and graphs for your college calculus or AP calculus class.
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#calculus #bprpcalculus #apcalculus #tutorial #math

[bijanmilitarey]

Hi. of course if we flip the function f(X) = e^X around the line of which is Y=X, we get Ln(X).
Answer of a) +infinity
b) -infinity
c) Doesn't exist
d) X=0

[LordOfTheObvious]

Thank you kindly sir. For granting knowledge

[Mathfan]

(A) infinity
(B) -infinity
(C) doesn't exist
(D) y = 0
Edit :Btw bprp if you read this I want you to know I love your math videos

[Ninja]

A function can only have at most 2 H.A. because by definition they only occur as x-> +/- inf and we only have 2 directions.

For V.A.s there’s clearly no maximum. You can just do 1/[x(x-1)(x-2)….(x-n)] to create as many as you want.

You can even have infinite. cosec(x) is one example since it’s 1/sin(x) and there are infinitely many x values where sin(x) is 0. (namely any integer multiple of pi)