# CalcS6

From Example Problems

Determine the interval of convergence for the power series

Note . Use the Ratio Test to check for absolute convergence:

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We need to check both endpoints for convergence as well. If , then the power series becomes . Note this is a -series with , implying divergence. If , the power series becomes . This is an alternating -series, implying conditional convergence. Thus, the interval of convergence is .