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Find the interval of convergence for the series:

x - x2/22 + x3/32 - x4/42 + ...

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By I the series is absolutely convergent when x lies between −1 and +1 

By II the series is divergent when x is less than −1 or greater than +1

By III there is no test when x = ±1. 

Thus the given series is said to have [−1, 1] as the interval of convergence.

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