Exercise 2.1.6: Is the sequence{; Exercise 2.1.7: Let {xn} be a sequence. a) Show that lim xn = 0 (that is, the limit exists and is zero) if and only if lim |xn| = 0. 1118 11-00 b) Find an example such that {1xn} converges and {x}=1 diverges. n=1 That is the limit? Everum 00 n n²+1 n=1 convergent? If so, what is the limit?
Exercise 2.1.6: Is the sequence{; Exercise 2.1.7: Let {xn} be a sequence. a) Show that lim xn = 0 (that is, the limit exists and is zero) if and only if lim |xn| = 0. 1118 11-00 b) Find an example such that {1xn} converges and {x}=1 diverges. n=1 That is the limit? Everum 00 n n²+1 n=1 convergent? If so, what is the limit?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
2.1.6 and 2.1.7 required needed to be solved both question correctly in 20 minutes in the order to get positive feedback please show me neat and clean work for it by hand solution needed
Please solve both
![n
80
Exercise 2.1.6: Is the sequence {² + 1)n=1
convergent? If so, what is the limit?
Exercise 2.1.7: Let {xn}_1 be a sequence.
a) Show that lim xn = 0 (that is, the limit exists and is zero) if and only if lim |xn| = 0.
1118
11-00
b) Find an example such that {|xn|1 converges and {x}=1 diverges.
That is the limit?
Fremm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf945409-a595-487a-9db3-a1d3f1a9ff90%2F573b44b0-14f5-40dd-a0d2-93092301577e%2F6rjeycb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:n
80
Exercise 2.1.6: Is the sequence {² + 1)n=1
convergent? If so, what is the limit?
Exercise 2.1.7: Let {xn}_1 be a sequence.
a) Show that lim xn = 0 (that is, the limit exists and is zero) if and only if lim |xn| = 0.
1118
11-00
b) Find an example such that {|xn|1 converges and {x}=1 diverges.
That is the limit?
Fremm
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