# Chapter 11 - Infinite Series - Chapter Review Exercises - Page 592: 85

The series $\sum_{n=2}^{\infty} \frac{n}{1+100n}$ diverges.

#### Work Step by Step

We have $$\lim\limits_{n \to \infty} a_n=\lim\limits_{n \to \infty} \frac{n}{1+100n}=\frac{1}{100}\neq 0.$$ Hence the series $\sum_{n=2}^{\infty} \frac{n}{1+100n}$ diverges.

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