Consider the function sin( ) on [-1,1] and its approximations by interpolating polynomials. For integer 1, let for , and let be the th-degree polynomial interpolating sin( ) at the nodes . Prove that

as

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- December 7th 2011, 07:46 PMalphabeta89interpolating polynomial for sin(pi*x)
Consider the function sin( ) on [-1,1] and its approximations by interpolating polynomials. For integer 1, let for , and let be the th-degree polynomial interpolating sin( ) at the nodes . Prove that

as