Mathematical Methods in the Physical Sciences · Problem 4.6

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}{2^n + 3^n}

. Hint: The general term is less than

\frac{1}{2^n}