Under what circumstances is it correct to say of the function [itex]u(x) \in L^2(-\infty,\infty)[/itex] that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

u(x-t) = u(x) - \frac{du}{dx}t + \frac 12 \frac{d^2u}{dx^2}t^2 - \cdots = \sum_{n=0}^\infty \frac{u^{(n)}(x)}{n!}(-t)^n.

[/tex]

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# (Deceptively?) Simple question about Taylor series expansions

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