(a)#Lim_(x->-5) x^2/(2x-3)# = #((-5)^2)/(-10-3) = -25/17#
(b)#Lim_(x->2) (x^3-8)/(x-2)# =#Lim_(x->2) x^2 +2x+4#= 12
(c)#Lim_(x->-2) (x^3+8)/(x+2)#= # Lim_(x->-2) x^2 -2x+4#=12
(d)# Lim_(x->2) (x^2-4)/(x^2 -3x +2)#= #Lim_(x->2) (x+2)/(x-1)#=4
(e)#Lim_(x->0) (1/x-1/x^2)#= #Lim_(x->0) (x-1)/x^2#= #-oo#