(b) Let f and g be contraction functions with co (i) The composite function h := fog is also a contraction function: (ii) Using (i) prove that h(x) = cos(sin x) is continuous at every point x = xo; that is, limo | cos(sin x)| = | cos(sin(ão))

(b) Let f and g be contraction functions with co (i) The composite function h := fog is also a contraction function: (ii) Using (i) prove that h(x) = cos(sin x) is continuous at every point x = xo; that is, limo | cos(sin x)| = | cos(sin(ão))

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 51E

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Question

(b) Let f and g be contraction functions with common domain R. Prove that
(i) The composite function h := fog is also a contraction function:
(ii) Using (i) prove that
h(x) = cos(sin x)
r)| |
is continuous at every point x = ro; that is, lim, cos(sin x) = cos(sin(ro))|.
W

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