AP Calculus BC

Properties of Limits

If $\displaystyle\lim_{x \to c} f(x)$ and $\displaystyle\lim_{x \to c} g(x)$ both exist, the limit of a sum, product, or quotient is the sum, product, or quotient of the limits. For a quotient, $\displaystyle\lim_{x \to c} g(x)$ must not be $0$.