Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 6 - Set Theory - Exercise Set 6.1 - Page 351: 23

Answer

V0 = [-inf, inf], V1 = [-1,1], V2 = [-1/2, 1/2] , V3 = [- 1/3 , 1/3 ] , V4 = [- 1/4 , 1/4 ] a) [-inf, inf] b) [- 1/4 , 1/4 ] c) No, V1 , V2 , V3 are not mutually disjoint d) [-inf, inf] e) [- 1/n , 1/n ] f) [-inf, inf] g) [-0,0] = [0]

Work Step by Step

Steps: 1. Calculate V_{0} , V_{1}, V_{2}, V_{3} and V_{4} by puttuing the value of i in the given function. Eg: V_{0} = [-1/0, 1/0] and so on 2. Evaluate the expression.
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