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 6870 views around the world You can reuse this answer Creative Commons License