- Let (fn)1 be a sequence of functions such that fnf on a set X. Which of the following condition(s guarantees that fn = f on X? (a) Each fn is continuous on X. (c) X is a closed interval. (b) Each fn is differentiable on X. (d) X is finite.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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- Let (fn) be a sequence of functions such that fn f on a set X. Which of the following condition(s)
51
guarantees that fn = f on X?
(a) Each fn is continuous on X.
(c) X is a closed interval.
(b) Each fn is differentiable on X.
(d) X is finite.
Transcribed Image Text:- Let (fn) be a sequence of functions such that fn f on a set X. Which of the following condition(s) 51 guarantees that fn = f on X? (a) Each fn is continuous on X. (c) X is a closed interval. (b) Each fn is differentiable on X. (d) X is finite.
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