evaluate the limit, given that f(x)=x^3 -2 square root of x

Question

lim h→0 f(x+h)- f(x)/h

 

a. 3x²-1/2√x

b. 3x²-1/√x

c. 3x²+1/2√x

d. 3x²+1/√x

Answer 1

Answer is b because this problem is simply asking for the derivative, f'(x).

 

HOWEVER, I MUST POINT OUT THAT THE limit is being taken of [f(x+h)-f(x)] /h and here on Wyzant's platform the extra grouping symbols that I have written should have been written by you.