How do I find the limit of a quotient? Precalculus Limits Properties of Limits 1 Answer Wataru Oct 19, 2014 If #lim_{x to a}f(x)# exists and #lim_{x to a}g(x)# exists and nonzero, then #lim_{x to a}{f(x)}/{g(x)}={lim_{x to a}f(x)}/{lim_{x to a}g(x)}#. I hope that this was helpful. Answer link Related questions How do I use properties of limits to evaluate a limit? What are limits at infinity? How are limits related to asymptotes? How do I find the limits of rational functions? How do I find the limits of piecewise functions? Can I factor a multiplicative constant out of a limit? What is the limit of a constant? How do I find the limit of a square root? How do I find the limit of a polynomial function? How do I find the limit of a rational function? See all questions in Properties of Limits Impact of this question 1643 views around the world You can reuse this answer Creative Commons License