Answered: Exercise 0.4. Assume that g : R → R is…

Exercise 0.4. Assume that g : R → R is a periodic continuous function. Prove that f(x) = 2x + g(x) is uniformly continuous in R.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 58E

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Question

Real Analysis, Continuous functions

Exercise 0.4.
Assume that g : R → R is a periodic continuous function. Prove that f(x) = 2x + g(x) is
uniformly continuous in R.

Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.

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