## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 2 - Limits - 2.4 Limits and Continuity - Exercises - Page 67: 48

#### Answer

$f(x)=9^{\tan x}$ is defined and continuous on its domain $x\in R; \ x\neq \frac{(2n+1)\pi}{2}$, $n$ is an integer.

#### Work Step by Step

Since $\tan x=\frac{\sin x}{\cos x}$ is defined and continuous on all $x\in R$ such that $x\neq \frac{(2n+1)\pi}{2}$, $n$ is an integer then $f(x)=9^{\tan x}$ is defined and continuous on its domain $x\in R; \ x\neq \frac{(2n+1)\pi}{2}$, $n$ is integer.

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