How do you evaluate the limit of #lim (x^2+3x-10)/(x^2+5x+6)# as #x->3#? Precalculus Limits Two-Sided Limits 1 Answer Noah G Nov 16, 2016 #lim_(x->3)(x^2 + 3x - 10)/(x^2 + 5x + 6)# #=>lim_(x->3)((x + 5)(x -2 ))/((x + 5)(x + 6))# #=>lim_(x->3) (x- 2)/(x + 6)# #=> (3- 2)/(3 + 6)# #=> 1/9# Hopefully this helps! Answer link Related questions What is a two-sided limit? How do I find two-sided limits? What is a limit from below? How do you find limits on a graphing calculator? What are some sample limit problems? What is the limit as #t# approaches 0 of #(tan6t)/(sin2t)#? What is the limit as #x# approaches 0 of #1/x#? What is the limit as #x# approaches 0 of #tanx/x#? Is there a number "a" such that the equation below exists? If so what is the value of "a" and its limit. What is the equation below solved for x to the nearest hundredth? See all questions in Two-Sided Limits Impact of this question 6626 views around the world You can reuse this answer Creative Commons License