Will you integrate it 2015 times? - I

Calculus Level 2

A function $f : \mathbb{R} \rightarrow \mathbb{R}$ is differentiated 2015 times to get $g(x) = \dfrac{ d^{2015} }{dx^{2015} } \big[ f(x) \big]$ .

True or False

If $g(x) = 0$ for all values of $x$ , then $f(x)$ has to be a polynomial.