July 2023
Beginner to intermediate
304 pages
6h 41m
English
Content preview from Calculus II Workbook For Dummies
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Chapter 16
Convergent and Divergent Series
IN THIS CHAPTER
Understanding the nth-term test for divergence
Using the direct comparison test to show convergence and divergence
Applying the limit comparison test to a series
Using the integral test to decide whether a series is convergent or divergent
Applying the ratio test to a series with exponents and factorials
Using the root test when a series has an exponent of n
In this chapter, you expand your understanding of infinite series with a variety of tests for convergence or divergence.
To begin, you see how the nth-term test provides an easy and intuitive way to show that many series are divergent. Then, you see how two comparison tests — the direct comparison test and the limit comparison test — allow you to use information about a series that you know to find out whether a new series is convergent or divergent.
Next, you break out ...
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