Mark all of the sequences {n} that are Cauchy sequences. x₁ = 2, and n+1 = x₂ = (-1)" 0 = 2" In = Xn = -71 1-an when neN -1/n when n is odd, and an = 1/2" when n is even

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Mark all of the sequences {n} that are Cauchy sequences.
n=1
U
U
U
0
x1 =
2, and n+1 1-¹ when n EN
Xn = (-1)"
xn = 2n
In =
-11
=
Xn ==
-1/n when n is odd, and n = 1/2" when n is even
Transcribed Image Text:Mark all of the sequences {n} that are Cauchy sequences. n=1 U U U 0 x1 = 2, and n+1 1-¹ when n EN Xn = (-1)" xn = 2n In = -11 = Xn == -1/n when n is odd, and n = 1/2" when n is even
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