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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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