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Proving an Equality : Lagrange Interpolating Polynomials

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Let x0, x1, ..., xn be distinct points and let

(see the attached file for the equation)

Show that

(see the attached file for the equation)

for m = 1,2,...,n and for all x.

Please see the attached file for the fully formatted problems.

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Solution Summary

Lagrange Interpolating Polynomials are investigated.

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