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Home  /  Calculus: Graphical, Numerical, Algebraic, AP Edition (6e)  /  Chapter 1 · Limits and Continuity
Section 1.1

Rates of Change and Limits

Average rates of change, instantaneous rates of change as limits, and computing limits graphically, numerically, and algebraically using limit laws.

23 lessons. Pick what you need.

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Chapter 1 · Limits and Continuity
Lesson

Lesson Introducing Where Calculus Starts

Examples

Examples of Finding the Average Rate of Change for a Function

Examples

Examples of Finding the Slope at a Point and the Tangent Line at a Point Using The Difference Quotient

Lesson

Lesson Introducing Limits and Evaluating Basic Limits

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Examples on How to Compute Basic Limits

Lesson

Lesson on Algebraic Tricks for Evaluating Limits

Examples

Examples of Algebraic Tricks for Limits when Getting 0/0

Lesson

Lesson on Limits that Do Not Exist

Lesson

Lesson on the Squeeze Theorem

Examples

Examples of Evaluating Basic Trig Limits

Lesson

Lesson on One-Sided Limits

Examples

Examples of One-Sided Limits

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Examples of One-Sided Limits with Absolute Value

Lesson

Lesson on the Proof of the Limit of sin(x)/x=1

Examples

Examples of Limits using sin x/x =1

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Slower-Paced Examples using Sinx/x=1

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Hard Examples of Limits using sin x/x =1

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Examples of Common Errors with sinx/x=1 Problems

Lesson

Lesson on the Precise Definition of a Limit

Examples

Examples of Epsilon-Delta Proofs, Finding the Specific Delta for a Specific Epsilon

Examples

Examples of Epsilon-Delta Proofs, Finding the Specific Delta with f(x)=1/x

Examples

Examples of Finding the General Delta for Epsilon-Delta Limit Proofs

Examples

Examples of Determining Where a Function is Continuous