Let f(x)= sinx/x if x [tex]\neq[/tex] 0 and f(0)=1(adsbygoogle = window.adsbygoogle || []).push({});

Find a polynomial pN of degree N so that

|f(x)-pN(x)| [tex]\leq[/tex] |x|^(N+1)

for all x.

Argue that f is differentiable, f' is differentiable, f" is differentiale .. (all derivatives exist at all points).

I'm not sure about this one at all. Can you guys help me out?

Thank You

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# Homework Help: Differentiability with sinx/x

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