Let p 4 (x) be the fourth Taylor polynomial of f(x) e x at x 0 Show that the error in using p 4 ( 1) as an approximation for e0 1 is at most 2 5 10 7

Question: Let p 4 (x) be the fourth Taylor polynomial of f(x) = e x at x = 0. Show that the error in using p

Let p₄ (x) be the fourth Taylor polynomial of f(x) = e^x at x = 0. Show that the error in using p₄(.1) as an approximation for e0.1 is at most 2.5 * 10^-7.

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