A glimpse ahead to power series Use the Ratio

Chapter 12, Problem 72AE

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QUESTION:

70-75. A glimpse ahead to power series Use the Ratio Test to determine the values of \(x \geq 0\) for which each series converges.

\(\sum_{k=1}^{\infty} \frac{x^{k}}{k}\)

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QUESTION:

70-75. A glimpse ahead to power series Use the Ratio Test to determine the values of \(x \geq 0\) for which each series converges.

\(\sum_{k=1}^{\infty} \frac{x^{k}}{k}\)

ANSWER:

Solution:-

Step1

Given that

Step2

To find

Use the Ratio Test to determine the values of x ≥ 0 for which each series converges.

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