4. Show that the sequence { fn}, where nx fa(x) = xER 1+n°x2 is point-wise convergent but is not uniformly convergent in any interval containing zero.
4. Show that the sequence { fn}, where nx fa(x) = xER 1+n°x2 is point-wise convergent but is not uniformly convergent in any interval containing zero.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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