## Calculus 10th Edition

Published by Brooks Cole

# Chapter 1 - Limits and Their Properties - 1.3 Exercises: 3

#### Answer

$(a)$ $\lim_{x\to0}f(x)=0$ $(b)$ $\lim_{x\to\pi/3}f(x)=\dfrac{\pi}{6}$

#### Work Step by Step

$f(x)=x\cos x$ The graph of the function is shown below: $(a)$ $\lim_{x\to0}f(x)$ From the graph, it can be seen that when $x$ approaches $0$ from the left and from the right, $f(x)$ approaches $0$ $\lim_{x\to0}f(x)=0$ $(b)$ $\lim_{x\to\pi/3}f(x)$ From the graph, it can be seen that when $x$ approaches $\dfrac{\pi}{3}$ from the left and from the right, $f(x)$ approaches $\dfrac{\pi}{6}$ $\lim_{x\to\pi/3}f(x)=\dfrac{\pi}{6}$

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