Question

If f is a differentiable function, then f'(a) is given by which of the following without further restrictions on f?

Answer 1

\[\lim_{h \rightarrow 0}\frac{ f(a+h)-f(a) }{ h}\]
\[\lim_{x \rightarrow a} \frac{ f(x)-f(a) }{ x-a}\]
\[\lim_{x \rightarrow a}\frac{ f(x+h)-f(x) }{ h }\]

Answer 2

Oh and the options are
A only
B only
A,B, and C
A and B only
A and C only