For the series

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

Problem

For the series ∑n=1∞(−1)n+1n0.99\displaystyle\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n^{0.99}}, determine whether the series (i) converges absolutely, (ii) converges conditionally, or (iii) diverges. Justify your conclusion in one or two sentences.

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