Question

Express the limit as a derivative of a function f(x) and then evaluate it.

Answer 1

\[\lim_{h \rightarrow 0} \frac{ 2^{3+h} - 8 }{ h }\]

Answer 2

Definition of derivative:
\[\lim_{x \rightarrow a}\frac{ f(x)-f(a) }{ x-a }\]
or
\[\lim_{h \rightarrow 0}\frac{ f(x+h)-f(x) }{ h }\]

Answer 3

Aso, another hint, \(8=2^3\)