Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 35, Problem 5A
To determine

Find the addition of the given expression.

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1) Find the nth derivative and the Taylor Series for sin(x). 2) Consider E_N(x) = f(x) - S_n(x). Does S_N(x) converge to f(x)=sin(x)? 3) How well does S_5 approximate sin(x) on [-2,2]? Show that E_N(x) converges uniformly by the W. M-test (please explain this).
Prove that a closed interval [0,1] = {x in R: 0 <= x <= 1} is a closed set by showing that it contains all its limit points
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