3740 Each series satisfies the hypotheses of the alternatingseries test. Find a value of

Chapter 9, Problem 37

(choose chapter or problem)

Each series satisfies the hypotheses of the alternating series test. Find a value of \(n\) for which the \(n\)th sum is ensured to approximate the sum of the series to the stated accuracy.

\(\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k} ; \quad \text { |error } \mid<0.0001\)

Equation Transcription:

       |error|  <  0.0001

Text Transcription:

n

n

sum_{k=1}^{infty} frac{(-1)^k+1}{k} ; |error| < 0.0001

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