In one or two sentences

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

Problem

In one or two sentences, explain why the series ∑n=1∞(−1)n+1n\displaystyle\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n} converges but its corresponding series of absolute values does not.

Related theory

Browse the problem library