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JH

# (a) Find the partial sum $s_5$ of the series $\sum_{n=1}^{\infty} 1/n2^n.$ Use Exercise 46 to estimate the error in using $s_5$ as an approximation to the sum of the series.(b) Find a value of $n$ so that $s_n$ is within $0.00005$ of the sum. Use this value of $n$ to approximate the sum of the series.

## a. $\approx 0.00521$b. $\approx 0.693109$ is within 0.00005 of the actual sum.

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