Calculating limits (with working)

Calculating limits (with working)

Let f(x) = sqrt x^2-3x and g(x) = x. calculate the following limits,
showing all working.
I've done the first two -
lim f(x) x ¡æ 0
= lim f(x) = ¡î(x©÷ -3x) = 0 x ¡æ 0
lim f (x) / g (x) x ¡æ−¡Ä
= lim f (x) / g (x) = [{¡î(x©÷ -3x)}/x] = [¡î{(1 -(3/x)}] = 1 x ¡æ−¡Ä
How do I calculate this one?
lim (f(x) - g(x)) x ¡æ¡Ä