2. Show that if a > 0, then the sequence (n²a?e¬n*) coverges uniformly on the interval [a, ∞), but that it does not converge uniformly on the interval [0, 0). -nx

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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2. Show that if a > 0, then the sequence (n²x²e¬na) converges uniformly on
the interval [a, ∞), but that it does not converge uniformly on the interval
[0, 0).
-nx
Transcribed Image Text:2. Show that if a > 0, then the sequence (n²x²e¬na) converges uniformly on the interval [a, ∞), but that it does not converge uniformly on the interval [0, 0). -nx
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