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Is there a sequence of continuous functions: fn : [0,1]-->R that is pointwise convergent but the limit function is discontinuous at each point in [0, 1]?

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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Is there a sequence of continuous functions: f_n : [0,1]-->R that is pointwise convergent
but the limit function is discontinuous at each point in [0, 1]?

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