What is the domain of f(x)= (x-3)/(x^2-9)?

Question

lim f(x)
x->3

Answer 1

domain of f(x) :
any real number, x ≠ 3

lim (x-3)/(x^2 - 9) , x --->3
= lim (x-3)((x-3)(x+3))
= lim 1/(x+3) , as x -->3
= 1/6

Answer 2

x = -3 is also excluded from the domain, eh? since x^2-9 = 0