Solved: The Taylor polynomial of degree n for f (x) = ex is n i=0(xi /i!). Use the
Chapter 1, Problem 18(choose chapter or problem)
The Taylor polynomial of degree n for f (x) = ex is n i=0(xi /i!). Use the Taylor polynomial of degree nine and three-digit chopping arithmetic to find an approximation to e5 by each of the following methods. a. e5 9 i=0 (5)i i! = 9 i=0 (1)i 5i i! b. e5 = 1 e5 1 9 i=0 5i i! . c. An approximate value of e5 correct to three digits is 6.74 103. Which formula, (a) or (b), gives the most accuracy, and why?
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