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Infinite Serieseasy
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For the alternating series ∑n=1∞(−1)n+1n\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n}∑n=1∞​n(−1)n+1​, the alternating series test guarantees convergence. What is the maximum error when approximating the sum using the first 99 terms?