Consider the series

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

Problem

Consider the series ∑n=1∞(−1)nn1.1\displaystyle \sum_{n=1}^{\infty} \dfrac{(-1)^n}{n^{1.1}}. Can an improper integral be used directly to decide its convergence? If not, state the adjustment required to make such an approach valid.

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