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Math Help - Help Finding Explicit Formula and Error Bound Using Mathematica!

  1. #1
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    Help Finding Explicit Formula and Error Bound Using Mathematica!

    Hey I need help with this question and any help will be appreciated. We have to use mathematica but I dont know how.

    A polynomial pn(x) of degree n which agrees with a function f(x) at n+1 points x0,...,xn. Another type of polynomial interpolation finds a degree n polynomial Pn(x) so that n derivatives of P(x) agree with the corresponding derivatives of f(x) at xo or

    P(xo) = f(xo), P`(xo) = f`(xo), ... , P^(n)(xo) = f^(n)(xo).

    1. Find an explicit formula for Pn(x) in terms of xo and f(xo), f`(xo), ... , f^(n)(xo).

    2. Give an error bound for the difference between Pn(x) and f(x) in terms of (x - xo)^(n+1).

    Help!
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