ap calculus - limits at infinity & horizontal asymptotes

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• 0:00

  Introduction and Overview

• 0:32

  Limits at Infinity Basics

• 1:04

  Polynomial Growth Comparison

• 2:50

  Evaluating Large Inputs

• 4:59

  Richest Man Analogy

• 6:02

  Rational Function Example

• 7:35

  Notation Importance

• 10:17

  Negative Infinity Limits

• 11:55

  Odd Exponent Effects

• 13:00

  Even Exponent Example

• 15:05

  Top-Heavy Functions

• 16:10

  Limits of Reciprocals

• 18:54

  Bottom-Heavy Example

• 21:02

  Another Bottom-Heavy Case

• 23:37

  Equal Degree Limits

• 26:01

  Negative Infinity Equal Degree

• 29:10

  Three Scenarios Summary

• 32:23

  Graphical Limit Examples

• 35:34

  End Behavior Connection

• 40:12

  Asymptote Observations

• 45:30

  Horizontal Asymptotes Defined

• 47:33

  Finding Asymptotes Example

• 50:57

  Bottom-Heavy Asymptote Example

• 55:22

  Square Root Function Example

• 59:35

  Absolute Value Importance

• 1:04:21

  Two Asymptotes Case

• 1:04:55

  Scenarios and Asymptotes Summary

• 1:06:35

  Closing and Next Streams

• 1:07:45

  Post-Lecture Q&A