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A divergence proof Give an argument, similar to that given
Chapter 10, Problem 53AE(choose chapter or problem)
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.
Questions & Answers
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