Chapter 7: Q. 22 (page 653)
Determine whether the series in Exercises 21–23 converge or diverge. Note that these series do not satisfy the criteria of the alternating series test.
$$1-\frac{1}{2}-\frac{1}{3}+\frac{1}{4}+\frac{1}{5}-\frac{1}{6}-\frac{1}{7}+\frac{1}{8}+\frac{1}{9}-\frac{1}{10}+...$$
Short Answer
The given series converges.