Limit Properties

lim f(x) = L x -> c

lim g(x) = M x -> c

lim(f(x) + g(x)) = L + M Sum property of limits x -> c

lim(f(x) - g(x)) = L - M Difference property of limits x -> c

lim(f(x) * g(x)) = L * M
x -> c

lim kf(x) = k * L Constant multiple property x -> c

lim $\frac{f(x)}{g(x)}$ Quotient property x -> c

lim(f(x))${}^{\frac{r}{s}}$ Exponent property x -> c

works as long as r and s are integers