Given Pn(x) = f [x0] + f [x0, x1](x x0) + a2(x x0)(x x1)

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Given
Pn(x) = f [x0] + f [x0, x1](x − x0) + a2(x − x0)(x − x1)
+ a3(x − x0)(x − x1)(x − x2)+· · ·
+ an(x − x0)(x − x1) · · · (x − xn−1),
use Pn(x2) to show that a2 = f [x0, x1, x2].
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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