Problem 3.(iii) please 3. (i) Let {I1, I2, I3, · ·} be a set of nested closed intervals, that is In+1 C In for all n. Prove that8.Ø 7 "IUi=1(ii) Show that the above result need not hold if each In is allowed to be an open interval.(iii) Let {I1, I2, · . , In} be a set of n intervals for some n > 3. Assume that they are pairwise intersecting,that is I; NI; + Ø for all i + j. Show using induction thatni=1Does this contradict (ii) ? Justify your answer.

Answered: Image /qna-images/answer/786ab08d-cc21-4178-9699-be2366b14538.jpg

Answered: 3. (i) Let {I1, I2, I3, · · ·} be a set…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 74E

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