JEE Advance - Mathematics (1981 - No. 27)
Use the function $$f\left( x \right) = {x^{1/x}},x > 0$$. to determine the bigger of the two numbers $${e^\pi }$$ and $${\pi ^e}$$
$$e^\pi$$ is bigger
$$\pi^e$$ is bigger
They are equal
Cannot be determined
The question is ill-posed