Mark all statements that are true (there might be more than one statement that is true). If A CR is countably infinite then A is not compact. Let {x} be a real sequence and A={x: n€ N}, where x = R. Define A = {x: n> k}, keN and let B ={A : keN). Then B is a covering k of A that has a finite subcovering. O Let {x} be a real sequence and assume that x n Let B=(0, {co. 1 1: 1 EN}. 1 n n of A. O Let {x} be a real sequence and A={ →x. Then A= = {x₁ : nENU {x} is sequentially compact. n then B is not empty. = {x₁ : n=N}, where x E R. Define A = {x : n ≥ k}, k € N and let B = { n n = {A₁: k@N}. Then is a covering

Mark all statements that are true (there might be more than one statement that is true). If A CR is countably infinite then A is not compact. Let {x} be a real sequence and A={x: n€ N}, where x = R. Define A = {x: n> k}, keN and let B ={A : keN). Then B is a covering k of A that has a finite subcovering. O Let {x} be a real sequence and assume that x n Let B=(0, {co. 1 1: 1 EN}. 1 n n of A. O Let {x} be a real sequence and A={ →x. Then A= = {x₁ : nENU {x} is sequentially compact. n then B is not empty. = {x₁ : n=N}, where x E R. Define A = {x : n ≥ k}, k € N and let B = { n n = {A₁: k@N}. Then is a covering

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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