Show that For some (x). [From Eq. (3.3), Considering the interpolation polynomial of degree n + 1

Show that

For some ξ(x). [From Eq. (3.3),

Considering the interpolation polynomial of degree n + 1 on x0, x1, . . . , xn, x, we have
f (x) = Pn+1(x) = Pn(x) + f [x0, x1, . . . , xn, x](x ˆ’ x0) · · · (x ˆ’ xn).]

Transcribed Image Text:

fintl) (E(x)) (n + 1)! flxo. X....XaX] (n+1) =