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The Calculus Lifesaver by Adrian Banner

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CHAPTER 22 _____________________________

Sequences and Series: Basic Concepts

Here’s the good news: infinite series are pretty similar to improper integrals. So a lot, but not all, of the relevant techniques are shared and we don’t need to reinvent the wheel. In order to define what an infinite series is, we’ll also need to look at sequences. Just as in the case of improper integrals, I’m devoting two chapters to sequences and series: this first chapter covers general principles, while the next one is more practical and contains methods for solving problems. If you’re reading this for the first time, go ahead and check out the details of this chapter. For review, a quick glance over the main points should suffice before moving on to the examples ...

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