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CalculusHardInfinite Sequences and Series

Infinite Sequences and Series · Hard problem

How many terms of ∑n=1∞(−1)n+1n4\displaystyle\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n^{4}} guarantee the partial sum is within 0.00010.0001 of the true sum?