Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please only do this typewritten, so everything is visible. I have a hard time reading handwritten solutions. i hope you understand. thank you. i will upvote
SKIP THIS IF YOU ALREADY DID THIS OR GET DOWNVOTE
![J
Use part (a) to prove that Xn x for somex ∈ R. Note: Ifo < b < 1 then b = 12 for some a > 1. Then use
part (a), since a > 1 + 0.
a - 1
1
(a) For alln E Nand a # 0 show that
an
(b) For a sequence (xn) in R, suppose that there exists an be (0, 1 ) such that
[Xn+1 - Xn] ≤ b"
for all nEN.
= 1-](https://content.bartleby.com/qna-images/question/5977e3d6-260f-47f5-8164-3ec7203d88e7/53efb243-5720-400f-b77f-ed0cb544097f/y3ynusf_processed.jpeg)
Transcribed Image Text:J
Use part (a) to prove that Xn x for somex ∈ R. Note: Ifo < b < 1 then b = 12 for some a > 1. Then use
part (a), since a > 1 + 0.
a - 1
1
(a) For alln E Nand a # 0 show that
an
(b) For a sequence (xn) in R, suppose that there exists an be (0, 1 ) such that
[Xn+1 - Xn] ≤ b"
for all nEN.
= 1-
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