2.65 Let fn(x) = xe¬nx² a) Find || fn||sup for all n. b) Determine whether or not fn converges uniformly on R and prove your for all x E R. claim.

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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2.65 Let fn(x):
a) Find || fn||sup for all n.
b) Determine whether or not fn converges uniformly on R and prove your
= xe-na" for all x E R.
claim.
Transcribed Image Text:2.65 Let fn(x): a) Find || fn||sup for all n. b) Determine whether or not fn converges uniformly on R and prove your = xe-na" for all x E R. claim.
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