Answer
The product of two continuous functions is continuous.
Work Step by Step
We are given the function $ f(x)=2^x\cos 3x $. By Theorem 2 and 3, $2^x $ and $\cos 3x $ are continuous functions. Using the basic laws of continuity, the product of two continuous functions is continuous; that is
$$ f(x)=2^x\cos 3x $$
is continuous.
