MCQ
If $f (x)=\left\{\begin{array}{cl}\left(1+\frac{4 x}{5}\right)^{\frac{1}{x}}, & x \neq 0 \\ e ^{\frac{4}{5}}, & x=0\end{array}\right.$, then
- A$\lim _{x \rightarrow 0} f(x)=e^{\frac{2}{5}}$
- B$\lim _{x \rightarrow 0} f(x)$ does not exist
- ✓$f (x)$ is continuous at $x=0$
- D$f (x)$ is discontinuous at $x=0$