1. Suppose C1, C2, C3, ... is a nondecreasing sequence of sets, i.e., Ck C Ck+1, for k= 1, 2, 3, . . . . Then find lim k→∞ Ck, if Ck = {(x, y) : 1/k≤ x² + y² ≤ 4 − 1/k}, k = 1, 2, 3, .... Justify your answer.

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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lim k→∞ Ck, if Ck = {(x, y) : 1/k≤ x² + y² ≤ 4 − 1/k}, k = 1, 2, 3, . . . . Justify your answer.
Suppose C1, C2, C3, . . . is a nondecreasing sequence of sets, i.e., Ck C Ck+1, for k= 1, 2, 3, . . . . Then find
Transcribed Image Text:1. lim k→∞ Ck, if Ck = {(x, y) : 1/k≤ x² + y² ≤ 4 − 1/k}, k = 1, 2, 3, . . . . Justify your answer. Suppose C1, C2, C3, . . . is a nondecreasing sequence of sets, i.e., Ck C Ck+1, for k= 1, 2, 3, . . . . Then find
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