Obtain estimates for the numerical values of and using the Taylor polynomials Pn
ID: 3214294 • Letter: O
Question
Obtain estimates for the numerical values of and using the Taylor polynomials Pn,100(delta x) of degreeree n = 2, 3,4, and 5 for at a = 100. Use these values to verify that, for each n, the error estimating is only about 1/10n + 1 times the size of the error estimating For each n = 1,2,3, and 5, sketch the graph of the remainder function on the interval -1 le delta le 1 For each n = 2, 3,4, and 5, there is a Cn for which Determine Cn and sketch Rn,100(delta x) and Cn(delta x)n + 1 together on the same axes to indicate that Rn,100(delta x) = O(n + 1). In each case, take -1 le delta x le 1.Explanation / Answer
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