Question #70a15

1 Answer
May 30, 2015

(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