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56. Find U₁A, and A; if for every positive integer i, a) A = {i, i+1,i+2,...}. b) A, = {0, i). c) A₁ = (0, i), that is, the set of real numbers x with 0

56. Find U₁A, and A; if for every positive integer i, a) A = {i, i+1,i+2,...}. b) A, = {0, i). c) A₁ = (0, i), that is, the set of real numbers x with 0

Advanced Engineering Mathematics
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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**Problem 56.** Find \(\bigcup_{i=1}^{\infty} A_i\) and \(\bigcap_{i=1}^{\infty} A_i\) for every positive integer \(i\), a) \(A_i = \{i, i + 1, i + 2, \ldots \}\). b) \(A_i = \{0, i\}\). c) \(A_i = (0, i)\), that is, the set of real numbers \(x\) with \(0 < x < i\). d) \(A_i = (i, \infty)\), that is, the set of real numbers \(x\) with \(x > i\).
Transcribed Image Text:**Problem 56.** Find \(\bigcup_{i=1}^{\infty} A_i\) and \(\bigcap_{i=1}^{\infty} A_i\) for every positive integer \(i\), a) \(A_i = \{i, i + 1, i + 2, \ldots \}\). b) \(A_i = \{0, i\}\). c) \(A_i = (0, i)\), that is, the set of real numbers \(x\) with \(0 < x < i\). d) \(A_i = (i, \infty)\), that is, the set of real numbers \(x\) with \(x > i\).
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