(d) UV, = i = 1 (e) %3D i = 1 (f) U V, = i = 1 (g) 00 i = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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Question
Don’t answer A, B, And C, please Answer the rest
(d)
UV, =
i = 1
(e)
%3D
i = 1
(f)
U V, =
i = 1
(g)
00
i = 1
Transcribed Image Text:(d) UV, = i = 1 (e) %3D i = 1 (f) U V, = i = 1 (g) 00 i = 1
Let V, = {xER
for each positive integer i. Find each of the following. (Enter your answers using interval notation.)
(а) 4
UV, = [-1, 1]
i = 1
(b)
4
1
4' 4
i = 1
(c) Are V,, V2, V3... mutually disjoint? Why or why not?
O Yes, because no two of the sets V,, V,, V3, ... have any elements in common.
O Yes, because the union of the sets V,, V,, V3,.. is empty.
O Yes, because the intersection of the sets V,, V2, V3, ... is empty.
O No, because no two of the sets V,, V,, V3r Nare disjoint.
No, because the sets V,, V, V3
... are disjoint.
(d)
UV =
i = 1
(e)
i = 1
(f)
UV, =
Transcribed Image Text:Let V, = {xER for each positive integer i. Find each of the following. (Enter your answers using interval notation.) (а) 4 UV, = [-1, 1] i = 1 (b) 4 1 4' 4 i = 1 (c) Are V,, V2, V3... mutually disjoint? Why or why not? O Yes, because no two of the sets V,, V,, V3, ... have any elements in common. O Yes, because the union of the sets V,, V,, V3,.. is empty. O Yes, because the intersection of the sets V,, V2, V3, ... is empty. O No, because no two of the sets V,, V,, V3r Nare disjoint. No, because the sets V,, V, V3 ... are disjoint. (d) UV = i = 1 (e) i = 1 (f) UV, =
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