-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-

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 23E: Let f(x),g(x),h(x)F[x] where f(x) and g(x) are relatively prime. If h(x)f(x), prove that h(x) and...
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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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