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4. .) Let (an)1 be a sequence defined by the recursive formula Ja₁ =9, a₂ = 6 a1 an+2 = √√an+1+√an VnEN Prove that the limit lim an exists and find its value. 818

4. .) Let (an)1 be a sequence defined by the recursive formula Ja₁ =9, a₂ = 6 a1 an+2 = √√an+1+√an VnEN Prove that the limit lim an exists and find its value. 818

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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4. .) Let (an)n-1 be a sequence defined by the recursive formula a₁9, a2 = 6 an+2 = √√√@n+1+√an VnEN Prove that the limit lim an exists and find its value. 81x
Transcribed Image Text:4. .) Let (an)n-1 be a sequence defined by the recursive formula a₁9, a2 = 6 an+2 = √√√@n+1+√an VnEN Prove that the limit lim an exists and find its value. 81x
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