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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
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Course: Calculus III
Topic: Sequences and Infinite Series
Subtopic: Comparison Tests

Overview

There are two different comparison tests used to determine if a series is convergent or divergent. In each your prior knowledge of the convergence or divergence of a basic series is used to compare to in determining the convergence or divergence of a new series. The direct comparison test (a.k.a. simply the "comparison test") involves knowing how the new and old series compare in terms of one being "contained" in the other. The limit comparison test uses the limit of a ratio of the new and old limits.

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: comparison test, direct comparison test, limit comparison test

Supplemental Resources (optional)

Paul's OL Notes - Calc II: Comparison Test & Limit Comparison Test

Patrick JMT Just Math Tutorials:
Limit Comparison Test and Direct Comparison Test 1
Limit Comparison Test and Direct Comparison Test 2

More tutorial videos if you need them are listed at James Sousa's MathIsPower4U - Calc II. Scroll down middle column to "Infinite Series" for related titles.