Plot f (x) = 1/(1 + x) together with the Taylor polynomials Tn at a = 1 for 1 n 4 on the
Chapter 8, Problem 30(choose chapter or problem)
Plot f (x) = 1/(1 + x) together with the Taylor polynomials Tn at a = 1 for 1 n 4 on the interval [2, 8] (be sure to limit the upper plot range). (a) Over which interval does T4 appear to approximate f closely? (b) What happens for x < 1? (c) Use your computer algebra system to produce and plot T30 together with f on [2, 8]. Over which interval does T30 appear to give a close approximation?
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