When finding the limits of products and quotients keep the following rules in mind: If the limit of f(x) and the limit of g(x) exist at x=a, then the limit of f(x)g(x) at x=a is the product of their limits. Similarly, if the limit of f(x) and the limit of g(x) exist at x=a, then the limit of f(x)/g(x) at x=a is the quotient of their limits, provided that the limit of g(x) is not zero.