Thread: Problem 24
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Old May 31st, 2007, 08:12 AM
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Quote:
Originally Posted by ThePerfectHacker View Post
Not every continously differenciable function is analytic.*


*)By analytic I mean it has a power series expansion on \mathbb{R}.
Yes I know, but it illurstates the point nicely.

(though the Stone-Weiestrauss theorem applies, I don't think this is adequate
to do the analysis with polynomial approximations instead, though it would be
nice if it did).

RonL
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