Let $f(3)=5$ and $f'(3)=2$. Find $\lim_{x\rightarrow0} \left(\frac{f(3+\frac{1}{x})}{f(3)} \right)^{x}$
My question is :
- Is the problem correct?
- Is the answer $e^{\frac{2}{5}}$ correct?
- If the answers of above questions are yes, Can I apply L'Hôpital's rule to the problem?
- Is there any faster solution?