Question

lim x->3 x²-6x+9/x²-9 = 3

Answer 1

lim (x²-6x+9)/(x²-9)

x->3

lim (x-3)²/(x+3)(x-3)

x->3

lim (x-3)/(x+3)  =(3-3)/(3+3) =0/6 =0

x->3