True or false Let P be a partition on [a,b]. Then ƒ e R[a, b] if and only ifsup 2, inf f.Ax[Xk-1-Xk] k=1inf> sup f.Axkk=1 [xk-1,Xk][xx-1,Xk]FalseTrue

Given statement is "Let P be a partition on a,b, Then f∈Ra,b if and only if…

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Let P be a partition on [a,b]. Then f e R[a, b] if and only if sup E. inf f.Ax [Xk-1-Xk] k=1 inf2 sup f.Axk [Xk-1 »Xk] [xk-1 »Xk] k=1 [xk-1,Xk]

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.5: Permutations And Inverses

Problem 5E: Let f:AA, where A is nonempty. Prove that f a has right inverse if and only if f(f1(T))=T for every...

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Question

True or false

Let P be a partition on [a,b]. Then ƒ e R[a, b] if and only if
sup 2, inf f.Ax
[Xk-1-Xk] k=1
inf> sup f.Axk
k=1 [xk-1,Xk]
[xx-1,Xk]
False
True

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