All About Limits!

This course is all about limit, which is a topic covered in Calculus 1 at the University level.

Once you complete this course, you will thoroughly understand how to evaluate limits given a graph and limits given different functions including trig functions. You will also understand limits related to the definition of the derivative.

Section 1: Limits Given a Graph

Evaluating Limits from a Graph (Notes)

Evaluating Limits from a Graph (Video)

Section 2: Limits Given a Function

Evaluating Limits of Polynomial, Rational, and Radical Expressions (Notes)

Evaluating Limits of Polynomial, Rational, and Radical Expressions (Video)

Section 3: Limits of Trig Ratios

Proof of the limit as x approaches 0 of sinx/x=1 (Notes)

Proof of the limit as x approaches 0 of sinx/x=1 (Video)

Evaluating Limits of Trig Ratios (Notes)

Evaluating Limits of Trig Ratios (Video)

Section 4: Limits at Infinity

Evaluating Limits At Infinity (Notes)

Evaluating Limits At Infinity (Video)

Section 5: Right and Left-Hand Limit | One-Sided Limits | Infinite Limits

Evaluating Right and Left-Hand Limits (Notes)

Evaluating Right and Left-Hand Limits (Video)

Section 6: Limits For Graphing Rational Functions Using Limits

Graphing Rational Functions Using Vertical and Horizontal Asymptotes (Notes)

Graphing Rational Functions Using Vertical and Horizontal Asymptotes (Video)

Section 7: The Derivative Using Limits

Understanding the Definition of the Derivative (Notes)

Understanding the Definition of the Derivative (Video)

Using the Definition of the Derivative (Notes)

Using the Definition of the Derivative (Video)

For each section (1-7), you are given:

1. Notes explaining concepts, details, and the example that is used in the video.

2. A video showing a visual of the example in the article.

Remember, practice is key to becoming an expert at mathematics!

If you watch each video and read each article, you will have a good understanding of limits!

Sincerely,

MathAngel369