Mathematical Methods in the Physical Sciences · Problem 6.14

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · integral-test

Problem

Use the integral test to find whether the series ∑1∞1n2+9\displaystyle\sum_{1}^{\infty} \frac{1}{\sqrt{n^2+9}} converges or diverges.

Related theory

Browse the problem library