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|6n cannot be evaluated directly. We will first find the limit of a related king the natural logarithm of each side of the equation results in the follow In(1 + ³)

|6n cannot be evaluated directly. We will first find the limit of a related king the natural logarithm of each side of the equation results in the follow In(1 + ³)

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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Determine whether the sequence converges or diverges. If it converges, find the limit. 36n Step 1 an =(1+ ) n The given limit of an Let y = 1 + = In(y) = In((1+³)x) = 1 + - e18 3\6n 3 6x Then taking the natural logarithm of each side of the equation results in the following. X X cannot be evaluated directly. We will first find the limit of a related sequence. In(1+²)
Transcribed Image Text:Determine whether the sequence converges or diverges. If it converges, find the limit. 36n Step 1 an =(1+ ) n The given limit of an Let y = 1 + = In(y) = In((1+³)x) = 1 + - e18 3\6n 3 6x Then taking the natural logarithm of each side of the equation results in the following. X X cannot be evaluated directly. We will first find the limit of a related sequence. In(1+²)
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