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Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 4 5 22 – 12' 3? – 2²' 4? – 3²* n + 3 1 sequence converges to 2 an (n + 1)? – n² n + 3 sequence does not converge. An = (n + 1)? – n² n + 3 1 sequence converges to An n2 – (n + 1)? 1 sequence converges to an = (n + 1)? – n² n + 3 an , sequence converges to 0. (n + 1)? – n²

Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 4 5 22 – 12' 3? – 2²' 4? – 3²* n + 3 1 sequence converges to 2 an (n + 1)? – n² n + 3 sequence does not converge. An = (n + 1)? – n² n + 3 1 sequence converges to An n2 – (n + 1)? 1 sequence converges to an = (n + 1)? – n² n + 3 an , sequence converges to 0. (n + 1)? – n²

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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Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 4 5 22 – 12' 3? – 2²' 4? – 3²* n + 3 1 sequence converges to 2 an (n + 1)? – n² n + 3 sequence does not converge. An = (n + 1)? – n² n + 3 1 sequence converges to An n2 – (n + 1)? 1 sequence converges to an = (n + 1)? – n² n + 3 an , sequence converges to 0. (n + 1)? – n²
Transcribed Image Text:Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 4 5 22 – 12' 3? – 2²' 4? – 3²* n + 3 1 sequence converges to 2 an (n + 1)? – n² n + 3 sequence does not converge. An = (n + 1)? – n² n + 3 1 sequence converges to An n2 – (n + 1)? 1 sequence converges to an = (n + 1)? – n² n + 3 an , sequence converges to 0. (n + 1)? – n²
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