Given that limx→c f(x) = -3, limx→c g(x) = 0, and limx→c h(x) = 8, find the following limits. If the limit does not exist, write DNE.
a) lim x→c (f(x) + h(x))
b) lim x→c f(x)/g(x)
c) lim x→c 2f(x)/h(x)-f(x)
d) lim x→c g(x)/f(x)
2. Let f(x) = x^2 - 9/|x-3|. Find each limit (if it exists).
a) lim x→3- f(x)
b) lim x→3+ f(x)
c) lim x→3 f(x)
3. If f(x) = x^2 + 2x - 1 and g(x) = 2x - 3, find and simplify [f◦g](x) and [g◦f](x).