QUESTION 8 Let C be the collection of continuous functions which have /= [0.1] for domain and have range in R. Show that (Choose one question) 1. (C.d) is a metric space where d(f,g) = maxxelf(x) – g(x)|· 2. (C, 6) is a metric space where 5(f.9) = [ \flx) – g(x)|dx" )= J, \f{x) – g(x)|dx' 0,
QUESTION 8 Let C be the collection of continuous functions which have /= [0.1] for domain and have range in R. Show that (Choose one question) 1. (C.d) is a metric space where d(f,g) = maxxelf(x) – g(x)|· 2. (C, 6) is a metric space where 5(f.9) = [ \flx) – g(x)|dx" )= J, \f{x) – g(x)|dx' 0,
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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Transcribed Image Text:QUESTION 8
Let c be the collection of continuous functions which have / =[0.11 for
domain and have range in R. Show that (Choose one question)
1. (C.d) is a metric space where d(f,g) = maxxeilf(x) – g(x)|·
2. (C, 6) is a metric space where 6(f,g) = If(x) – g(x)|dx
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