The alternating series estimation theorem gives us a way to approximate the sum of an alternating series with a remainder or error that we can calculate. To use the theorem, the alternating series must follow two rules.

Read MoreSometimes it’s easy to forget that there’s a difference between the *limit* of an infinite series and the *sum* of an infinite series. They’re two very different things, and we use a different calculation to find each one.

One convenient way to find the sum of the Maclaurin series is to start with a well-known Maclaurin series and then manipulate it one step at a time until it matches the series you’ve been given. Because you’ll be manipulating the expression of the sum at the same time, once you get the series to match, you’ll automatically have the sum.

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