Posts tagged alternating series
How to use the alternating series test to determine convergence
How to use the alternating series test to determine convergence

The alternating series test for convergence lets us say whether an alternating series is converging or diverging. When we use the alternating series test, we need to make sure that we separate the series a_n from the (-1)^n part that makes it alternating.

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The alternating series estimation theorem to estimate the value of the series and state the error
The alternating series estimation theorem to estimate the value of the series and state the error

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.

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