How do you find the limit of (x^3 - 5x^2 + 7x - 3)/(x^3 - x^2 - 5x - 3) as x approaches 3? Calculus Limits Determining Limits Algebraically 1 Answer Alberto P. Nov 8, 2016 1/4 Explanation: Divide both polynomia by x-3, then lim_(x->3)((x-3)(x-1)^2)/((x-3)(x+1)^2)=(3-1)^2/(3+1)^2=1/4 Answer link Related questions How do you find the limit lim_(x->5)(x^2-6x+5)/(x^2-25) ? How do you find the limit lim_(x->3^+)|3-x|/(x^2-2x-3) ? How do you find the limit lim_(x->4)(x^3-64)/(x^2-8x+16) ? How do you find the limit lim_(x->2)(x^2+x-6)/(x-2) ? How do you find the limit lim_(x->-4)(x^2+5x+4)/(x^2+3x-4) ? How do you find the limit lim_(t->-3)(t^2-9)/(2t^2+7t+3) ? How do you find the limit lim_(h->0)((4+h)^2-16)/h ? How do you find the limit lim_(h->0)((2+h)^3-8)/h ? How do you find the limit lim_(x->9)(9-x)/(3-sqrt(x)) ? How do you find the limit lim_(h->0)(sqrt(1+h)-1)/h ? See all questions in Determining Limits Algebraically Impact of this question 3724 views around the world You can reuse this answer Creative Commons License