Answer
3
Work Step by Step
$\lim\limits_{h \to 0}\dfrac{(h-1)^3+1}{h}$
Expand:
$\lim\limits_{h \to 0}\dfrac{h^3-3h^2+3h-1+1}{h}$
$\lim\limits_{h \to 0}\dfrac{h^3-3h^2+3h}{h}$
$\lim\limits_{h \to 0}h^2-3h+3$
Plug in 0:
$0^2-3(0)+3=3$
$\lim\limits_{h \to 0}\dfrac{(h-1)^3+1}{h}=3$
