Give an example of a sequence of continuous functions: fn : [0, 1] → R that has no pointwise convergent subsequence.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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Give an example of a sequence of continuous functions: fn : [0, 1] → R that has no
pointwise convergent subsequence.
Transcribed Image Text:Give an example of a sequence of continuous functions: fn : [0, 1] → R that has no pointwise convergent subsequence.
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