Question

Assume that f(x) and g(x) are both differentiable functions such that f(0) =
g(0) = 0 and g′(0) ̸= 0. Compute the limit limx-->0 f(x)/g(x) in terms of f(x),g(x),f′(x), and g′(x). [Note: You may not use L’Hˆopital’s rule]