PrepAnywhere

3.3 The limit of a Function

Textbook

Calculus and Advanced Functions McGraw

Chapter

Section

3.3

Intro to Limits 8 Videos

1 Introduction to Limits

2 Limits of a Function

3 Limit at a Point VS a Point

4 Where Limit at a Point and Point is the same

5 Limit VS Point Example

6 Finding Limit of Indeterminate Form with Factoring ex1

7 Finding Limit of Indeterminate Form with Factoring ex2

8 Finding Limit of Indeterminate Form with Conjugate Pairs ex3

Limits Laws 5 Videos

1 Introduction to Limit Laws

2 Example of Applying Limits Laws with Trig

3 Evaluating Limits of Indeterminate Form

4 Squeeze Theorem

5 Proof of Squeeze Theorem

One Sided Limits 9 Videos

Introduction to Limit from One side

Definition of LHLLeft Handed Limit and RHLRight Handed Limit

Sketching a rough graph with given left hand and right hand limits at a point ex1

Sketching a rough graph with given left hand and right hand limits at a point ex2

Limit at x for |x|

Left Handed Limit for a Rational Function with Absolute Value Function ex1

limits approaching Infinity

Limit approaching infinity from both left and right sides

comment about infinite limits from each side

Continuity Lecture 12 Videos

Definition of Continuity

Jump Discontinuity

Removable Discontinuity

Infinite Discontinuity

Jump discontinuity example

Removable Discontinuity Example

Piece wise Function Discontinuity

Filling in a Hole with piece wise function

One sided Continuity & Example of Continuous on Interval

Find c so that function is Continuous everywhere

Summary about when Holes Occur

IVT Intermediate Value Theorem Lecture

Solutions 32 Videos