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In exercises $39-41,$ determine values of $a$ and $b$ that make the given function continuous. $$ f(x)=\left\{\begin{array}{ll} \frac{2 \sin x}{x} & \text { if ...

Question

In exercises $39-41,$ determine values of $a$ and $b$ that make the given function continuous. $$ f(x)=\left\{\begin{array}{ll} \frac{2 \sin x}{x} & \text { if } x<0 \\ a & \text { if } x=0 \\ b \cos x & \text { if } x>0 \end{array}\right. $$

In exercises $39-41,$ determine values of $a$ and $b$ that make the given function continuous. $$ f(x)=\left\{\begin{array}{ll} \frac{2 \sin x}{x} & \text { if } x<0 \\ a & \text { if } x=0 \\ b \cos x & \text { if } x>0 \end{array}\right. $$



Answers

In Exercises $39-58,$ find the $x$ -values (if any) at which $f$ is not continuous. Which of the discontinuities are removable?
$f(x)=3 x-\cos x$


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