iPad 11:33 PM 3. C-4 points My Notes Ask Your Teacher Consider the Taylor series

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iPad 11:33 PM 3. C-4 points My Notes Ask Your Teacher Consider the Taylor series for the function f(x) CO n-0 a. Suppose you plug in any constant, x c. ls the resulting series geometric? Geometric Not geometric b. If it's geometric, find r. Your answer will include c. lf it's not geometric enter DNE. c. Compute the 8-th degree estimate at x c. Your answer will be a formula involving c T8(c) d. Write a formula for the error in the 8-th degree estimate at x c. Remember: error formulas need absolute value symbols. Error e. Discussion Questions: Did you simplify your error formula? Would it be easy to plug in c 1.5? If yes, do so. Check the result against your answer to Problem 2(e) above. If no, you might change your mind during the next problem 4, 15 points My Notes Ask Your Teacher Download Worksheet 2. If you are working in class, get a copy from your instructor. Fill in all the cells in the table. Compare answers with colleagues. You will need a complete

Explanation / Answer

a) Geometric series

b) r = c/2

c) T8(c) = 1/(n-7)!*(c/2)^(n-8)*(x-c)^8

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