For which real values of does the alternating-series error bound apply to the series

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

Problem

For which real values of

p>0

does the alternating-series error bound apply to the series

\displaystyle\sum_{n=1}^{\infty}(-1)^{n-1}\dfrac{1}{n^{p}}

? Give the interval of all such

p