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A function f:R→Rf : \mathbb{R} \rightarrow \mathbb{R} f:R→R is differentiated 2015 times to get g(x)=d2015dx2015[f(x)] g(x) = \dfrac{ d^{2015} }{dx^{2015} } \big[ f(x) \big]g(x)=dx2015d2015[f(x)].
True or False
If g(x)=0 g(x) = 0 g(x)=0 for all values of xxx, then f(x)f(x) f(x) has to be a polynomial.
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