### Home > CALC > Chapter 10 > Lesson 10.1.7 > Problem10-70

10-70.

This is the sum of two geometric series. Do both of these series converge?

This is a geometric series. What is the value of r?

$\sqrt{n}>\ln(n)$

$\frac{\sqrt{n}}{n^2}=\frac{1}{n^{1.5}}>\frac{\ln(n)}{n^2}$