Answer
True
Work Step by Step
The limit of a product is the product of the limits when each of the limits exists.
Let's consider we have two real-valued functions $\lim\limits_{x\to a} f(x)=b$ and $\lim\limits_{x\to a} g(x)=c$ (with b,c,..are real numbers)
$\rightarrow \lim\limits_{a \to b} f(x)g(x)=\lim\limits_{x \to a}f(x).\lim\limits_{x \to a}g(x)=bc$
