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Infinite Seriesmedium
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The alternating series ∑n=1∞(−1)n+1n2\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^2}∑n=1∞​n2(−1)n+1​ converges. If we use the first 10 terms to approximate its sum, what is the maximum error?