Let Pn (x) be the nth Taylor polynomial for f (x) = ex expanded about x0 = 0. a. For
Chapter 2, Problem 2.5.17(choose chapter or problem)
Let Pn (x) be the nth Taylor polynomial for f (x) = ex expanded about x0 = 0. a. For fixed x, show that pn = Pn (x) satisfies the hypotheses of Theorem 2.13. b. Let x = 1, and use Aitkens 2 method to generate the sequence p0,... , p8. c. Does Aitkens method accelerate convergence in this situation?
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