Let f : [x0−h, x0+h]→R be defined. (a) Construct the 2nd degree Lagrange polynomial fitting {x...

Question:

Let f : [x0−h, x0+h]→R be defined.
(a) Construct the 2nd degree Lagrange polynomial fitting {x −h,x ,x +h} and compute P′′(x ).

(b) Use Taylor’s theorem to derive the same formula with error term.

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