Question

PLEASE HELP!!!!!!!!
Evaluate the following limit.
lim as h->0 of 1/h integral from 5 to 5+h of sqrt(7+t^3)dt.
It said Hint: Use L'Hopital's rule.
I will write this as an equation below in the next box as well.

Answer 1

\[\lim_{h \rightarrow 0}\frac{ 1 }{ h}\int\limits_{5}^{5+h}\sqrt{7+t^3}dt\]

Answer 2

this is exactly F'(5)=sq(7+5*3)