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Thread: Derivative sequence of some function. Properites.

  1. #1
    Dec 2011

    Derivative sequence of some function. Properites.

    Suppose we have an infinitely differentiable function f:(a b) -> R; (x) -> f(x). Let DER(n,f(x)) is the n'th derivative of f at a point x. When does DER(n,f(x)) converge pointwise to a zero function defined on (a b) as n goes to infinity? i.e. What restrictions one can set to the function f so that the derivative sequence of f goes to zero?

    thanks in advance for the replies! (Bow)
    Last edited by Opalg; Dec 5th 2011 at 10:08 AM.
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