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5. Use the definition of the limit of a sequence to establish the following limits. n (a) lim n²+1 1) = 0, 2n (b) lim = 2, n+ 3n+1 3 n² - 1 1 (c) lim (d) lim 2n+5 2' 2n² +3 2'

5. Use the definition of the limit of a sequence to establish the following limits. n (a) lim n²+1 1) = 0, 2n (b) lim = 2, n+ 3n+1 3 n² - 1 1 (c) lim (d) lim 2n+5 2' 2n² +3 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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5. Intro To Real Analysis 

5. Use the definition of the limit of a sequence to establish the following limits. 2n n (a) lim n² + 1 = 0, +1 (b) lim lim (1241) = n+1 2, (c) lim 3n+1 3 == 2n+5 लाते (d) lim 2' n² - 1 2n² +3, == 2
Transcribed Image Text:5. Use the definition of the limit of a sequence to establish the following limits. 2n n (a) lim n² + 1 = 0, +1 (b) lim lim (1241) = n+1 2, (c) lim 3n+1 3 == 2n+5 लाते (d) lim 2' n² - 1 2n² +3, == 2
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