Taylors formula with n = 1 and a = 0 gives the linearization of a function at

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Taylor’s formula with n = 1 and a = 0 gives the linearization of a function at x = 0. With n = 2 and n = 3 we obtain the standard quadratic and cubic approximations. In these exercises we explore the errors associated with these approximations. We seek answers to two questions:


a. For what values of x can the function be replaced by each approximation with an error less than 10-2?


b. What is the maximum error we could expect if we replace the function by each approximation over the specified interval? Using a CAS, perform the following steps to aid in answering questions (a) and (b) for the functions and interval.



Using a CAS, perform the following steps to aid in answering questions (a) and (b) for the functions and interval.image


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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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