A divergence proof Give an argument, similar to that given

Chapter 10, Problem 53AE

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QUESTION:

A divergence proof Give an argument, similar to that given in the text for the harmonic series, to show that \(\sum_{k=1}^{\infty} \frac{1}{\sqrt{k}}\) diverges.

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QUESTION:

A divergence proof Give an argument, similar to that given in the text for the harmonic series, to show that \(\sum_{k=1}^{\infty} \frac{1}{\sqrt{k}}\) diverges.

ANSWER:

Problem 53AEA divergence proof Give an argument, similar to that given in the text for the harmonic series, to show that diverges.SolutionStep 1:P-Series TestIf the series is of the form Where p>0If p>1 the p-series converges If then p series diverges

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