Suppose I have an infinitely differentiable function F that is nonzero exactly on a set [-b,b]. Can I say that [itex]|F(x)| \leq C(x+b)^k[/itex] for some integer [itex]k > 2[/itex]? If so, why?(adsbygoogle = window.adsbygoogle || []).push({});

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# Infinitely differentiable functions

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