Answer the Questions by appropriately matching the information given in the three columns of the following table.

Let $$f(x) = x + \log_e x - x \log_e x, x \in (0, \infty)$$.
Column 1 contains information about zeros of $$f(x), f'(x)$$ and $$f''(x)$$.
Column 2 contains information about the limiting behavior of $$f(x), f'(x)$$ and $$f''(x)$$ at infinity.
Column 3 contains information about increasing/decreasing nature of $$f(x)$$ and $$f'(x)$$.