Answered: Is there a sequence of continuous…

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]?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter5: Graphs And The Derivative

Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test

Problem 61E

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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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