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.
This problem is part of the set - Will you integrate it 2015 times?
by
Pranshu Gaba