# Chapter 1 - Limits and Their Properties - 1.4 Exercises: 21

limit does not exist.

#### Work Step by Step

$\lim\limits_{x\to \pi^-}cotx$ $=cot\pi$ $=-\infty$ $\lim\limits_{x \to \pi^+} cotx =cot\pi=\infty$ Since, right hand limit is not equal to the left hand limit, $\lim\limits_{x \to \pi} cotx$ does not exist.

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