# Chapter 11 - Infinite Sequences and Series - 11.1 Sequences - 11.1 Exercises - Page 744: 36

Diverges

#### Work Step by Step

Since the highest degree of $n$ in the numerator is 1 and the highest degree in the denominator is 1, the limit as $n$ approaches infinity will be that of $\frac{(-1)^{n+1}n}{n} = (-1)^{n+1}$. Hence the sequence diverges.

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