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(1) Use the definition to prove that if xn → 2 then (2xn + 1) / xn → 5/2.

(1) Use the definition to prove that if xn → 2 then (2xn + 1) / xn → 5/2.

Advanced Engineering Mathematics
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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(1) Use the definition to prove that if xn → 2 then (2x + 1)/xn → 5/2.
Transcribed Image Text:(1) Use the definition to prove that if xn → 2 then (2x + 1)/xn → 5/2.
Xn = Xn = n where (yn) is bounded 2 n(1+(−1)”)+n-((−1)n − 1) Xn Xn Xn=3-(-1)" Xn = cos (¹₂) √1+n² 2n-5 = lim inf (x₂) lim sup(x₂)
Transcribed Image Text:Xn = Xn = n where (yn) is bounded 2 n(1+(−1)”)+n-((−1)n − 1) Xn Xn Xn=3-(-1)" Xn = cos (¹₂) √1+n² 2n-5 = lim inf (x₂) lim sup(x₂)
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