CALCULUS HW HELP PLEASE - FINDING LIMIT

Question

Evaluate the limit, if it exists. I tried 0, and does not exist, and h2 and they were all wrong

lim h → 0 ((x + h)3 − x3)/(h)

Answer 1

Recall that the definition of derivative is f'(x) = lim_h→0 [(f(x+h) - f(x)) / h].

The given limit is f'(x) for f(x) = x³. So, the value of the given limit is 3x².