f(x) = x^2 sin (1/x) if x in (-1,1) and x is not 0

f(x)=0 if x=0

Investigate the validity of Taylor's theorem for f about the point x=0

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- Nov 17th 2009, 11:06 PMdabienInvestigate the validity of Taylor's theorem for f
f(x) = x^2 sin (1/x) if x in (-1,1) and x is not 0

f(x)=0 if x=0

Investigate the validity of Taylor's theorem for f about the point x=0 - Nov 19th 2009, 12:13 AMchisigma
An can be expanded in Taylor series around if in that point and all its derivatives do exist. For the function You have proposed, in , does exist but doesn't (Shake) ...

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