Determine whether the alternating-series error bound may be applied to estimate the…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Determine whether the alternating-series error bound may be applied to estimate the remainder when ∑n=1∞(−1)n−11n2+1\displaystyle\sum_{n=1}^{\infty}(-1)^{n-1}\dfrac{1}{n^{2}+1} is truncated after the 4th term. State “yes” or “no” and briefly justify your answer.

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