Ononot — The alternating series \sum{n=1}^{\infty} \frac{(-1)^{n+1}}{

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Infinite Seriesmedium

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The alternating series $\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n}$ converges by the Alternating Series Test. If we use the first 999 terms to approximate the sum, what is the maximum error by the Alternating Series Error Bound?