Series-Convergence-Flow

# Series-Convergence-Flow - Given an infinite series u n n 1...

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• hain2005
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Phong Do Given an infinite series 1 n n u Is it an alternating series? YES NO Can you find a formula S n for the partial sum? YES If lim n n S  exists, the series is convergent. Else, it is divergent. NO lim 0 n n u  YES The series is divergent by virtue of the Divergence Test NO YES Use the Geometric Series test NO Try the Alternating Series test Try the Ratio Test for absolute convergence. Note that this test is very similar to the Ratio Test for positive series. Is this a geometric series? Is this a p-series? Use the p-series test YES Does the series contain

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