-пя for all x € 0, 00). t fal(x) — же па for all z € [0, co). Find || fn||sup for all n. Prove that fn → 0 uniformly on [0, 00). ww-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 53E
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2.63 Let fn(x) = xe-n* for all x € [0, 00).
a) Find || fn||sup for all n.
b) Prove that fr. --→ 0 uniformly on [0, ).
Transcribed Image Text:2.63 Let fn(x) = xe-n* for all x € [0, 00). a) Find || fn||sup for all n. b) Prove that fr. --→ 0 uniformly on [0, ).
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