-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-
-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, ).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe87a569b-7721-4104-9b29-fedcf0a2817b%2F53121a0c-766f-4aee-b9f2-67581ffef6c6%2F3bt51w_processed.png&w=3840&q=75)
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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