ap calculus - algebraic limits

timestamps

• 0:00

  Introduction to Algebraic Limits

• 0:30

  Recap of Graphical Limits

• 1:01

  Explicit Functions and Limits

• 1:31

  Topics Overview

• 2:01

  Plugging In Instinct

• 3:03

  Limits Flowchart

• 3:34

  Case 1: Number Result

• 4:05

  Case 2: Undefined Results

• 5:08

  Case 3: Indeterminate Forms

• 7:17

  First Example Plug-In

• 8:18

  Second Example Undefined

• 9:20

  Factoring Example

• 11:09

  Factoring Numerator Denominator

• 12:12

  Simplifying After Canceling

• 14:48

  Trig Limit with Tangent

• 16:20

  Trig Definitions Application

• 17:21

  Complex Fraction Handling

• 19:27

  Trig Example Answer

• 20:30

  Identifying Zero Causes

• 22:03

  Identity Example

• 23:35

  Pythagorean Identities

• 25:09

  Simplifying Trig Expression

• 26:11

  Identity Example Answer

• 26:41

  Notation Importance

• 28:46

  Expanding Example

• 30:24

  Foiling Numerator

• 32:29

  Expanding Answer

• 32:59

  Difference of Squares Alternative

• 35:05

  Rationalizing Example

• 36:22

  Conjugate Multiplication

• 38:27

  Foiling with Conjugate

• 41:06

  Rationalizing Answer

• 41:40

  Piecewise Function Intro

• 42:12

  Limit at -3 Setup

• 45:49

  Left and Right Limits

• 47:56

  Piecewise Limit Exists

• 48:27

  Limit at 5 Setup

• 50:24

  Piecewise Rules Application

• 51:57

  Undefined Piecewise Limit

• 52:59

  Factoring with Division

• 54:36

  Polynomial Long Division

• 59:50

  Factored Form Answer

• 1:00:23

  Techniques Recap

• 1:02:26

  Questions and Wrap-Up