Let be a twice differentiable function and suppose that for all , satisfies the following two conditions: (i) (ii) Prove that
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Originally Posted by pankaj Let be a twice differentiable function and suppose that for all , satisfies the following two conditions: (i) (ii) Prove that using Taylor's theorem, we know that for any there exists some such that therefore: and hence a similar argument gives us this: if and for all then for all
Last edited by NonCommAlg; Jun 18th 2009 at 05:55 AM.
This is being as precise as possible
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