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 neededPlease solve both n80Exercise 2.1.6: Is the sequence {² + 1)n=1convergent? 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| = 0.111811-00b) Find an example such that {|xn|1 converges and {x}=1 diverges.That is the limit?Fremm

Answered: Image /qna-images/answer/573b44b0-14f5-40dd-a0d2-93092301577e.jpg

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

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