Let's do some calculus! (14)

Calculus Level 2

If \(\displaystyle \lim_{x \to a} {\big(f(x)\cdot g(x)\big)}\) exists, then both \(\displaystyle \lim_{x \to a} {f(x)}\) and \(\displaystyle \lim_{x \to a} {g(x)}\) always exist.