Limits at Infinity and Horizontal Asymptotes | Calculus 1

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This is an intro to limits at infinity. We discuss what it means to consider the limit of a function as x goes to infinity or positive infinity, connecting it to end behavior and looking at graphs. We discuss horizontal asymptotes, and go through several examples of finding limits of rational functions as x goes to infinity. #calculus1 #apcalculus

0:00 Intro
0:40 Limits at Infinity on Graph and Table
2:14 Definition of Horizontal Asymptotes
2:51 Basic Limit Properties
3:08 Basic Example 1/sqrt(x)
5:15 Limits of Rational Functions at Infinity
12:47 Outro

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this guy is the god of math, got 90% in discrete math because of him, now calculus this semester

nadred
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Can you do a video on why we can never use lhopital rule for multi variable limits?

MathCuriousity
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On question 2 of the limits of rational functions at infinity section, when it is graphed the right line passes 3/2 which is the limit. If this is the limit, why does it do that? And the graph you show says it never passes 3/2, but it does.

sweatykid