Let Pn(x) be the nth Taylor polynomial for /(x) = e x expanded about xo = 0. a. For

Chapter 2, Problem 17

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Let Pn(x) be the nth Taylor polynomial for /(x) = e x expanded about xo = 0. a. For fixed x, show that p = P(x) satisfies the hypotheses of Theorem 2.14. b. Let x = 1 and use Aitken's A 2 method to generate the sequence po, ... , psc. Does Aitken's method accelerate convergence in this situation?

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