Question 6 in the attached image. 6. Let f,g: R –→R be continuous functions and defineS = {r € R : f(r) – g(x) E Z},where Z stands for the set of all integers. Let (xn) be a convergent sequence in S and let r =limno Tn. Can we say that r e S? Would your answer change if we replace Z with the set Q of allrational numbers? Justify your answer.

It is given that, f, g : ℝ → ℝ are the continuous functions. And, S = x∈ℝ : f(x)-g(x) ∈ℤ. Let xn…

Answered: 6. Let f,g: R→ R. be continuous…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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