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show whether or not fn(x) =sin(x/n) converges poinwise

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Question

a) show whether or not f_n(x) =sin(x/n) converges poinwise

b) show whether or not f_n(x) =sin(x/n) converces uniformly .

c) show whether or not f_n(x) =(1-x)xⁿ converges uniformly

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