# Chapter 9 - Section 9.1 - Sequences - Exercises - Page 488: 60

Converges to $0$

#### Work Step by Step

Consider $\lim\limits_{n \to \infty} a_n= \lim\limits_{n \to \infty} [\ln n - \ln (n+1)]$ So, $\lim\limits_{n \to \infty} a_n= \lim\limits_{n \to \infty} \lim\limits_{n \to \infty} [\ln n - \ln (n+1)]=\lim\limits_{n \to \infty} \ln (\dfrac{n}{n+1}) =\ln (\lim\limits_{n \to \infty} [\dfrac{n}{n+1})]=\ln 1=0$ Hence, $\lim\limits_{n \to \infty} a_n=0$ and {$a_n$} is Convergent and converges to $0$

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