Answer: p-series Determine the convergence or divergence

Chapter 10, Problem 34E

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QUESTION:

31-34. p-series Determine the convergence or divergence of the following series.

\(\sum_{k=1}^{\infty} 2 k^{-3 / 2}\)

Questions & Answers

QUESTION:

31-34. p-series Determine the convergence or divergence of the following series.

\(\sum_{k=1}^{\infty} 2 k^{-3 / 2}\)

ANSWER:

Problem 34E

p-series Determine the convergence or divergence of the following series.

Solution

Step 1

In this problem we have to determine the convergence or divergence of the p-series,

P-series definition :

        “If then converges if and diverges if ”  … (1)

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