Find the remainder term R n (x) for the Taylor series centered at 0 for the following

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Find the remainder term Rn(x) for the Taylor series centered at 0 for the following functions. Find an upper bound for the magnitude of the remainder on the given interval for the given value of n. (The bound is not unique.)

f(x) = ln (1 - x); bound R3(x), for |x| < 1/2.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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