Mathematical Methods in the Physical Sciences · Problem 4.3

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · convergent-divergent-series

Problem

Select some

\epsilon

's and find the corresponding

N

's for the series

\displaystyle\sum_{n=1}^{\infty} \frac{1}{n(n+1)}

. Hint:

\frac{1}{n(n+1)} = \frac{1}{n} - \frac{1}{n+1}