Rate the statement as TRUE or FALSE.

Question

There are two functions of real variable f and g such that: $$\lim_{x\to 0^+}f(x)=\lim_{x\to 0^+}g(x)=0$$ $$ \lim_{x\to 0^+}\frac{f(x)}{g(x)}=e$$

Answer 1

Now, after you edit the question. A simple solution would be $f(x)=ex$ and $g(x)=x$.

Answer 2

$$ \huge \mbox{MAYBE} $$ .....................................