Question

        ³√(8+h) - 2
Lim -----------
h→0 h

I have to identify the f(x) and the "a"
(the slope of a line tangent to f(x) at "a", which is in other words a tangent line to f(x) at (a, f(a) )

Answer 1

This is using the \[\large\color{ slate }{\large {\bbox[5pt, yellow ,border:2px solid white ]{ \rm \lim_{h \rightarrow 0} f'(x)=\frac{f(x+h)-f(x)}{h} }}}\]

Answer 2

(8, 2)

Answer 3

how do I know what f(x) is ?

Answer 4

\[f \left( x \right)=\sqrt[3]{x}\]

Answer 5

and how does the 8 get there?

Answer 6

a = 8

Answer 7

How do you do this? Do you like set an equation to solve ?
I know how to simplify the limit, but I can't identify the f(x) and the "a"

Or is it just one of those common sense questions, because then I guess I am just very stupid.