3. Suppose C₁, C2, C3, ... is a non-decreasing sequence of sets, i.e., Ck C Ck+1, Ck is defined as the union C₁ U C₂ U C3 U... Find lim k→∞ Ck = {x: 1/k ≤ x ≤ 5-1/k}, k = 1, 2, 3, . Then lim .. for k = 1, 2, 3, . .... . Ck if k-00
3. Suppose C₁, C2, C3, ... is a non-decreasing sequence of sets, i.e., Ck C Ck+1, Ck is defined as the union C₁ U C₂ U C3 U... Find lim k→∞ Ck = {x: 1/k ≤ x ≤ 5-1/k}, k = 1, 2, 3, . Then lim .. for k = 1, 2, 3, . .... . Ck if k-00
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:3. Suppose C₁, C2, C3, ... is a non-decreasing sequence of sets, i.e., Ck C Ck+1,
for k = 1, 2, 3, . . . . Then lim KCk is defined as the union C₁ U C₂ U C3 U.
Ck = {x: 1/k ≤ x ≤ 5 - 1/k}, k = 1, 2, 3, ..
Find lim
k→∞0
Ck if
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