Evaluate the limit

Question

f(x)= √(x²-3) ; lim h→0 (f(x+h)-f(x))/h

Answer 1

Answer 2

Well that limit is the same as f'(x)

f(x) = (x²-3)^1/2 so by the chain rule f'(x) = 1/2 (x²-3)^-1/2 (2x) = x (x²-3)^-1/2