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Prove that the Lagrange's fomula can be put in the form ø (x) f (x,) (x- x,) ø' (x,) P„(x) = £ %3D | where ø (x) = II r = 0 *('x -x)

Prove that the Lagrange's fomula can be put in the form ø (x) f (x,) (x- x,) ø' (x,) P„(x) = £ %3D | where ø (x) = II r = 0 *('x -x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Prove that the Lagrange's formula can be put in the form ø (x) f (x,) P„(x) = £ r= 1 (x- x,) ø' (x,) n where ø (x) = (x- x,). r = 0
Transcribed Image Text:Prove that the Lagrange's formula can be put in the form ø (x) f (x,) P„(x) = £ r= 1 (x- x,) ø' (x,) n where ø (x) = (x- x,). r = 0
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