For what values of p does the series converge (initial

Chapter 10, Problem 5E

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QUESTION:

For what values of p does the series \(\sum_{k=10}^{\infty} \frac{1}{k^{p}}\) converge (initial index is 10)? For what values of p does it diverge?

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QUESTION:

For what values of p does the series \(\sum_{k=10}^{\infty} \frac{1}{k^{p}}\) converge (initial index is 10)? For what values of p does it diverge?

ANSWER:

Solution:-

Step1

Given that

 

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