Table of Contents
APEX Calculus
Contributing Authors
Preface
Calculus I
Calculus II
7
Inverse Functions and L’Hôpital’s Rule
8
Techniques of Integration
9
Sequences and Series
9.1
Sequences
9.2
Infinite Series
9.3
The Integral Test
9.4
Comparison Tests
9.5
Alternating Series and Absolute Convergence
9.6
Ratio and Root Tests
9.7
Strategy for Testing Series
9.8
Power Series
9.9
Taylor Polynomials
9.10
Taylor Series
10
Curves in the Plane
Calculus III
Appendices
Calculus II
8.7
Numerical Integration
Chapter Introduction
Chapter 9
Sequences and Series
Chapter Introduction
9.1
Sequences
9.2
Infinite Series
9.3
The Integral Test
9.4
Comparison Tests
9.5
Alternating Series and Absolute Convergence
9.6
Ratio and Root Tests
9.7
Strategy for Testing Series
9.8
Power Series
9.9
Taylor Polynomials
9.10
Taylor Series