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The Calculus Lifesaver by Adrian Banner

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CHAPTER 23 _____________________________

How to Solve Series Problems

The scenario: you are given a series Images an, and you want to know whether or not it converges. If it does converge, then perhaps you’d like to know its value (that is, what it converges to). The series has to be pretty special in order to find a nice expression for its value. Of course, the series may not start at n = 1 as in the above series—it could be n = 0 or some other value of n.

This chapter is all about giving you a blueprint of how to proceed. Here’s a possible flowchart for how to approach a series:

1. Is the series geometric? If your series only involves exponentials ...

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