Try another version of this question Does the series `sum_{n=2}^{oo} \ 1/n` converge or diverge? Does the series `sum_{n=2}^{oo} \ (- 1)^n/n` converge or diverge? Get help: Box 1: Select the best answer Box 2: Select the best answer
The first series is a harmonic series starting at `n = 2`, which has the same convergence behavior as the standard harmonic series. The second series is an alternating series. Use the Alternating Series Test: check if the terms `\frac{1}{n}` are decreasing and approach zero.
diverges (harmonic series)
converges (alternating series test)