Pls. answer these two questions by typing not by handwriting. 9. Given an infinite collection An, n=1,2,... of intervals of the real line, their intersection is defined to be 1 A₂ = {x| (vn)(x €A₁)} Give an example of a family of intervals An, n = 1,2,..., such that An+1 C An for all n and 1 An = 0). Prove that your examplehas the stated property.Your answer needs to be a little bit longer. Write a few sentences to complete your assignment.G10. Give an example of a family of intervals A, n=1,2,..., such that An+1 CA, for all n and 4 consists of a single real number.Prove that your example has the stated property.n=1Your answer needs to be a little bit longer. Write a few sentences to complete your assignment.G

Let An : = [ n ,∞) where n = 1,2, 3 ..... . So { An } n∈ℕ is an example of infinite collection…

9. Given an infinite collection An, n=1,2,... of intervals of the real line, their intersection is defined to be 1 An = {x | (\n)(x € A₁)} Give an example of a family of intervals A, n=1,2,..., such that A+1 CA, for all n and A=0. Prove that your example has the stated property. G Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 10. Give an example of a family of intervals A, n=1,2,..., such that A+1 CA, for all 1 and 4 consists of a single real number. Prove that your example has the stated property. n=1 G

9. Given an infinite collection An, n=1,2,... of intervals of the real line, their intersection is defined to be 1 An = {x | (\n)(x € A₁)} Give an example of a family of intervals A, n=1,2,..., such that A+1 CA, for all n and A=0. Prove that your example has the stated property. G Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 10. Give an example of a family of intervals A, n=1,2,..., such that A+1 CA, for all 1 and 4 consists of a single real number. Prove that your example has the stated property. n=1 G

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 63RE

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