## Question

###### In Discussion 8, you used the Taylor polynomial of f(z) Vx centered at a = 8 with n = 3 to approximate 10p3(x) = 2 + (2 _ 2) - (z - 2)2 + (x _ 2)3 288 20736Use Taylor s Remainder theorem to find an upper bound on the magnitude of the remainder (the error) of the approximation. This topic was covered in the two videos OHl Taylor's Remainder theorem in module 11.3.b) Assuming that the exact value of V10 is given by calculator the absolute error of the approximation can be computed asV1o P3(10

In Discussion 8, you used the Taylor polynomial of f(z) Vx centered at a = 8 with n = 3 to approximate 10 p3(x) = 2 + (2 _ 2) - (z - 2)2 + (x _ 2)3 288 20736 Use Taylor s Remainder theorem to find an upper bound on the magnitude of the remainder (the error) of the approximation. This topic was covered in the two videos OHl Taylor's Remainder theorem in module 11.3. b) Assuming that the exact value of V10 is given by calculator the absolute error of the approximation can be computed as V1o P3(10)| ~ 2.7x10-4 Compare the absolute error with your bound from part a) Does your bound from seem reasonable?

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