2. For n E N, let fn(2) - converges uniformly on [0, 1]? nx +sin(nx?) n 1 (a) Show that the sequence {f}₁ converges uniformly on [0, 1]. (b) Does 8]T Σ n=1 fn

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 33E
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2. For n E N, let
fn(2)
=
converges uniformly on [0, 1]?
nx + sin(nx2)
n
n=
(a) Show that the sequence {fn}_₁ converges uniformly on [0, 1].
(b) Does
Σfn
n=1
Transcribed Image Text:2. For n E N, let fn(2) = converges uniformly on [0, 1]? nx + sin(nx2) n n= (a) Show that the sequence {fn}_₁ converges uniformly on [0, 1]. (b) Does Σfn n=1
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