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a. Show that H2n+1(x) is the unique polynomial of least degree agreeing with f and f at x0. . . xn. Assume that P(x) is another such polynomial and consider D = H2n+1 − P and D at x0, x1. . . xn.]
b. Derive the error term in Theorem 3.9.
And using the fact that g (t) has (2n + 2) distinct zeros in [a, b].] |
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