Give an example of a sequence of continuous functions: fn : [0, 1] →R that converges pointwise to 0 on [0, 1] but no subsequence of fn converges uniformly on any subinterval of (0, 1].
Give an example of a sequence of continuous functions: fn : [0, 1] →R that converges pointwise to 0 on [0, 1] but no subsequence of fn converges uniformly on any subinterval of (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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