Let (x) = (sin x)/x for x 0 and (0) = 1. (a) Plot on

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Let ƒ(x) = (sin x)/x for x ≠ 0 and ƒ(0) = 1.
(a) Plot ƒ on [−3π, 3π].
(b) Show that ƒ(c) = 0 if c = tan c. Use the numerical root finder on a computer algebra system to find a good approximation to the smallest positive value csuch that ƒ'(c0) = 0.
(c) Verify that the horizontal line y = ƒ(c0) is tangent to the graph of y = ƒ(x) at x = cby plotting them on the same set of axes.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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