Strategy for Series

Strategy for Series - Strategy for Series Now that weve got...

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Strategy for Series Now that we’ve got all of our tests out of the way it’s time to think about organizing all of them into a general set of guidelines to help us determine the convergence of a series. Note that these are a general set of guidelines and because some series can have more than one test applied to them we will get a different result depending on the path that we take through this set of guidelines. In fact, because more than one test may apply, you should always go completely through the guidelines and identify all possible tests that can be used on a given series. Once this has been done you can identify the test that you feel will be the easiest for you to use. With that said here is the set of guidelines for determining the convergence of a series. 1. With a quick glance does it look like the series terms don’t converge to zero in the limit, i.e. does ? If so, use the Divergence Test. Note that you should only do the divergence test if a quick glance suggests that the series terms may
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Strategy for Series - Strategy for Series Now that weve got...

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