mutually disjoint?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For Questions 27, can you give me the correct answer?

'; =
for each positive integer i. Find each of the following. (Enter your answers using interval notation.)
(a) 4
UV; =
i = 1
(b) 4
nV; =
i = 1
(c) Are V,, V2, V3, ... mutually disjoint? Why or why not?
O Yes, because the intersection of the sets V,, V2, V2, ... is empty.
O Yes, because the union of the sets V,, V, V31 ... is empty.
O Yes, because no two of the sets V,, V,, Va, ... have any elements in common.
O No, because no two of the sets V,, V2, V2, ... are disjoint.
O No, because the sets V,,V, V3
... are disjoint.
(d) n
UV; =
i = 1
(e) n
i = 1
(f)
U V; =
i = 1
(g)
N V; =
i = 1
Transcribed Image Text:'; = for each positive integer i. Find each of the following. (Enter your answers using interval notation.) (a) 4 UV; = i = 1 (b) 4 nV; = i = 1 (c) Are V,, V2, V3, ... mutually disjoint? Why or why not? O Yes, because the intersection of the sets V,, V2, V2, ... is empty. O Yes, because the union of the sets V,, V, V31 ... is empty. O Yes, because no two of the sets V,, V,, Va, ... have any elements in common. O No, because no two of the sets V,, V2, V2, ... are disjoint. O No, because the sets V,,V, V3 ... are disjoint. (d) n UV; = i = 1 (e) n i = 1 (f) U V; = i = 1 (g) N V; = i = 1
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