Consider the following series: sum_(n=1)^x (1)/(n^((t)/(3))) (a) For what values of t does this series converge? Justify your answer. (b) Show that the ratio test is inconclusive when t=3. (c) What is the sum of the first 3 nonzero terms when t=6?
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The p-series test states that the series \sum_(n=1)^\infty 1/n^p converges if p > 1 and diverges if p <= 1. Show more…
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