The third remainder for f (x) at x = 0 is where c is a number between
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The third remainder for f (x) at x = 0 is
where c is a number between 0 and x. Let f (x) = cos x, as in Check Your Understanding Problem 11.1.
(a) Find a number M such that | f (4)(c)| ≤ M for all values of c.
(b) In Check Your Understanding Problem 11.1, the error in using p3(.12) as an approximation to f (.12) = cos .12 is given by R3(.12). Show that this error does not exceed 8.64 * 10-6.
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Related Book For 
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
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