# Let's do some calculus! (14)

Calculus Level pending

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.