ONLY PART D such that Lp(g) >1-might make answering this part easier.(c) Prove that for every e > 0, there exists a partition P of [0, 1] such that Lp(f) >1-e.Hint. Use part (b).(d) Show that I(f) = 1, and conclude that f is integrable on [0, 1].E =2- €. Do a similar proof for n = 3 and n = 4. Doing this 1 1 12'3'4(7) Let A =:n e Z and n >1Let....Soif æ ¢ Aif x € Af(x) =In this question we will prove that f is integrable on [0, 1].(a) Prove that (S) = 1.(b) Prove that for every positive integer n, and for every e > 0, there exists a partition P of[0, 1] such that Lp(f) >1 - -Note: this question involves two arbitrary values, namely, n and e. So you might want to firstpick a value for n, say n = 2, and show that for any e > 0, there exists a partition P of [0, 1]

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Answered: Show that I¿(f) = 1, and conclude that…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.2: Remainder And Factor Theorems

Problem 53PS

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