Mark all of the sequences that have a convergent subsequence. O {(-1/n)¹² }_1 n= -2)" l .2 n=1 {cos(πn)}1 {n³_n}_1 {n}1, where an is the digit in the nth decimal place of 1/√2 n=1'
Mark all of the sequences that have a convergent subsequence. O {(-1/n)¹² }_1 n= -2)" l .2 n=1 {cos(πn)}1 {n³_n}_1 {n}1, where an is the digit in the nth decimal place of 1/√2 n=1'
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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Transcribed Image Text:Mark all of the sequences that have a convergent subsequence.
O {(-1/n)¹² }_1
n=
-2)" l
.2
n=1
{cos(πn)}1
{n³_n}_1
{n}1, where an is the digit in the nth decimal place of 1/√2
n=1'
Expert Solution
Step 1
a) itself convergent ... every sequence is subsequence of itself
b)a2n is convergent subsequence
c)a2n= {cosπ 2n} is convergent subsequence
d)has no convergent subsequence
e) has no convergent subsequence
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