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Problem #6: Consider the function 90(x) = |x| on R. For n = N, define 9n(x) = |9n−1(x) — 2¹−n|. Prove that the functions on converge uniformly to a limit 9 on R. Hint: Draw the graph of 90, 91, 92 to find g.

Problem #6: Consider the function 90(x) = |x| on R. For n = N, define 9n(x) = |9n−1(x) — 2¹−n|. Prove that the functions on converge uniformly to a limit 9 on R. Hint: Draw the graph of 90, 91, 92 to find g.

College Algebra
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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Problem #6: Consider the function 90(x) = |x| on R. For n = N, define 9n(x) = |9n−1(x) — 2¹−n|. Prove that the functions on converge uniformly to a limit 9 on R. Hint: Draw the graph of 90, 91, 92 to find g.
Transcribed Image Text:Problem #6: Consider the function 90(x) = |x| on R. For n = N, define 9n(x) = |9n−1(x) — 2¹−n|. Prove that the functions on converge uniformly to a limit 9 on R. Hint: Draw the graph of 90, 91, 92 to find g.
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