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00 Vn2 + 1 Prove that the sequence {an}n=1 converges by following the following sequence of steps. n=1 (a) Prove that {a%} is bounded. n=1 (b) Prove that {a%}-1 is decreasing. n=1 (c) In a previous HW assignment we showed that if 0 < a < b, then 0 < vā < Vb. Use this result to complete the proof.

00 Vn2 + 1 Prove that the sequence {an}n=1 converges by following the following sequence of steps. n=1 (a) Prove that {a%} is bounded. n=1 (b) Prove that {a%}-1 is decreasing. n=1 (c) In a previous HW assignment we showed that if 0 < a < b, then 0 < vā < Vb. Use this result to complete the proof.

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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Hi, I only need help on 2c. Thank you!

Vn2 +1 Prove that the sequence {an}n=1 converges by following the following sequence of steps. n n=1 (a) Prove that {a;}, is bounded. n=1 (b) Prove that {a%}=1 is decreasing. (c) In a previous HW assignment we showed that if 0 < a < b, then 0 < Va < vb. Use this result to complete the proof.
Transcribed Image Text:Vn2 +1 Prove that the sequence {an}n=1 converges by following the following sequence of steps. n n=1 (a) Prove that {a;}, is bounded. n=1 (b) Prove that {a%}=1 is decreasing. (c) In a previous HW assignment we showed that if 0 < a < b, then 0 < Va < vb. Use this result to complete the proof.
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