# 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.