part 2 Course : Real Analysis QUESTION 8Let c be the collection of continuous functions which have / =[0.11 fordomain 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

The question is about metric spaces. The derailed solution of the given question is given as…

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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part 2

Course : Real Analysis

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

Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.

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