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

Printable View

- November 17th 2009, 10:06 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 - November 18th 2009, 11:13 PMchisigma
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) ...

Kind regards