How do you determine the limit of #(2)(/(x-5)^(3))# as x approaches #5^-#?? Calculus Limits Determining Limits Algebraically 1 Answer Eddie Sep 5, 2016 #= -oo# Explanation: #lim_(x to 5^-) 2/(x-5)^3# let #x = 5 - h, 0< h " << " 1# #lim_(x to 5^-) 2/(x-5)^3 implies lim_(h to 0) 2/(-h)^3# #implies lim_(h to 0) - 2/h^3 = -oo# as #h > 0# 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 1192 views around the world You can reuse this answer Creative Commons License