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n For each nEN, consider x = with x ER+. Define the sequence {gn} by x (a) (b) A = [1,2) CR. (1) (ii) 8n(x) = f(x) = = Find the limit function of {gn}, if exists. 1 -2' Xn By using limit criterion. XER+. explain whether {n} Converges uniformly on By using Cauchy criterion for uniform convergence.

n For each nEN, consider x = with x ER+. Define the sequence {gn} by x (a) (b) A = [1,2) CR. (1) (ii) 8n(x) = f(x) = = Find the limit function of {gn}, if exists. 1 -2' Xn By using limit criterion. XER+. explain whether {n} Converges uniformly on By using Cauchy criterion for uniform convergence.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3b

Let the function f: R→ R be defined by 1 x2, f(x) = = 0, x=0, x = 0.
Transcribed Image Text:Let the function f: R→ R be defined by 1 x2, f(x) = = 0, x=0, x = 0.
n For each n EN, consider x = - with x ER+. Define the sequence {gn} by X 8n(x) = f(xn) = (a) Find the limit function of {gn}, if exists. (b) A = [1,2) CR+. (1) (ii) 1 x² By using limit criterion. XER+. explain whether {gn} Converges uniformly on By using Cauchy criterion for uniform convergence.
Transcribed Image Text:n For each n EN, consider x = - with x ER+. Define the sequence {gn} by X 8n(x) = f(xn) = (a) Find the limit function of {gn}, if exists. (b) A = [1,2) CR+. (1) (ii) 1 x² By using limit criterion. XER+. explain whether {gn} Converges uniformly on By using Cauchy criterion for uniform convergence.
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