How do you find the limit of #(x^(2/3) -(2sqrt x)) /( 4 - (16/x))# as x approaches 8? Calculus Limits Determining Limits Algebraically 1 Answer Konstantinos Michailidis Jul 17, 2016 We have that #lim_(x->8) (x^(2/3) -(2sqrt x)) /( 4 - (16/x))= [8^(2/3)-2sqrt8]/[4-16/8]=[4-4sqrt2]/[2]= 2-2sqrt2# 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 1183 views around the world You can reuse this answer Creative Commons License