Basic Analysis I — Real Analysis · Problem 2.5.8

Sequences and Series — Jiri Lebl

Mathematics — Real Analysis · alternating-series

Problem

Show that ∑n=1∞(−1)nn\displaystyle\sum_{n=1}^{\infty} \frac{(-1)^n}{n} converges. Hint: Consider the sum of two subsequent entries.

Related theory

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