8 3n+5 Let {an} be a sequence such that (1 – 1⁄2)³n ≤ an ≤ en+2 for every n ≥ 1. Which of the following statements is correct? Select one alternative O We cannot conclude whether or not the sequence converges The sequence diverges The sequence converges to e O The sequence converges to e²

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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8
3n+5
Let {an}1 be a sequence such that (1 - 1⁄)³n ≤ an ≤ e n+2 for every n ≥ 1. Which of the following
statements is correct?
Select one alternative
We cannot conclude whether or not the sequence converges
The sequence diverges
The sequence converges to e
The sequence converges to e²
Transcribed Image Text:8 3n+5 Let {an}1 be a sequence such that (1 - 1⁄)³n ≤ an ≤ e n+2 for every n ≥ 1. Which of the following statements is correct? Select one alternative We cannot conclude whether or not the sequence converges The sequence diverges The sequence converges to e The sequence converges to e²
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