Answer
$f(x)=5^{x}$ and $a=2$
Work Step by Step
Given $$\lim _{h \rightarrow 0} \frac{5^{2+h}-25}{h} $$
The difference quotient $$\frac{5^{(2+h)}-25}{h}$$ has the form $$\frac{f(a+h)-f(a)}{h}$$ where $f(x)=5^{x}$ and $a=2$.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.