Will you integrate it 2015 times? - I

Calculus Level 2

A function f:RRf : \mathbb{R} \rightarrow \mathbb{R} is differentiated 2015 times to get g(x)=d2015dx2015[f(x)] g(x) = \dfrac{ d^{2015} }{dx^{2015} } \big[ f(x) \big].

True or False

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


This problem is part of the set - Will you integrate it 2015 times?
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