- #1
tomboi03
- 77
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Let f(x)= sinx/x if x [tex]\neq[/tex] 0 and f(0)=1
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
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