Show that the following functions are Lipschitz continuous in th: a) f(x) = ax+b b) f(x) = sinx c) f (x) = (x1 → with ato. Note that it is not differentiable in th. (fails at x= 0) d) f(x)=√x²+a with aso

Show that the following functions are Lipschitz continuous in th: a) f(x) = ax+b b) f(x) = sinx c) f (x) = (x1 → with ato. Note that it is not differentiable in th. (fails at x= 0) d) f(x)=√x²+a with aso

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 12E

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Question

(c), (d)

Show that the following functions are Lipschitz
continuous in th:
a) f(x) = ax+b
b) f(x) = sinx
c) f (x) = (x1 →
with ato.
Note that it is not differentiable
in th. (fails at x= 0)
d) f(x)=√x²+a with aso

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