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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+I times the size of the error estimating For each n = 2,3, 4, and 5, sketch the graph of the remainder function y = Rn,100 on the interval -1 le delta x le 1. How does your graph indicate that Rn,100(delta x) = O(n + 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. Show transcribed image text 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+I times the size of the error estimating For each n = 2,3, 4, and 5, sketch the graph of the remainder function y = Rn,100 on the interval -1 le delta x le 1. How does your graph indicate that Rn,100(delta x) = O(n + 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.
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+I times the size of the error estimating For each n = 2,3, 4, and 5, sketch the graph of the remainder function y = Rn,100 on the interval -1 le delta x le 1. How does your graph indicate that Rn,100(delta x) = O(n + 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.
Show transcribed image text 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+I times the size of the error estimating For each n = 2,3, 4, and 5, sketch the graph of the remainder function y = Rn,100 on the interval -1 le delta x le 1. How does your graph indicate that Rn,100(delta x) = O(n + 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. 0
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