Let an be recursively defined by ao = 2, an+1 = √5an for n ≥ 0. Either show that an converges and find its limit, or else show that an diverges to ±∞o.
Let an be recursively defined by ao = 2, an+1 = √5an for n ≥ 0. Either show that an converges and find its limit, or else show that an diverges to ±∞o.
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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Transcribed Image Text:Let an be recursively defined by ao = 2, an+1 = √5an for n ≥ 0.
Either show that an converges and find its limit, or else show that an diverges
to ±∞o.
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