Find the limit. Use L'Hospital's rule as needed.

Question

limit as x approaches 0 of (x²)/(1-cosx)

I started off by determining the type and got type 0/0, so I found the derivates of f(x) and g(x), which were 2x and sinx. Is the answer 0?

Answer 1

lim_x→0 [x² / (1 - cosx)] = lim_x→0 [2x / sinx] = 2lim_x→0 [x / sinx] = 2(1) = 2