How do you find the limit of (x-7)/(x^2-49) as x approaches 7? Precalculus Graphing Rational Functions Limits - End Behavior and Asymptotes 1 Answer Noah G Nov 15, 2016 => lim_(x -> 7) (x - 7)/((x + 7)(x - 7)) =>lim_(x->7) 1/(x+7) =>1/(7+7) =>1/14 Hopefully this helps! Answer link Related questions What is the limit of the greatest integer function? What is the limit of f(x)=4 as x approaches 1? What is the limit of f(x)=4 as x approaches pi? How do I find the limit of (xy)/sqrt (x^2+y^2)? What is the limit of (x^2-1)/(x-1) as x approaches 1? What is the limit of (2-sqrt(x))/(4-x) as x approaches 4? What is the limit of x/3 as x approaches 6? What is the limit of (x^2-4)/(x-2) as x approaches 2? What is the limit of (2x-1)/(4x^2-1) as x approaches -1/2? What is the limit of sinx as x approaches infinity? See all questions in Limits - End Behavior and Asymptotes Impact of this question 7107 views around the world You can reuse this answer Creative Commons License