(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(x_n) is a sequence and x_1 > 2. From then on, x_{n+1} = x_n + 1/x_n

Prove that (x_n) is divergent.

2. Relevant equations

n/a

3. The attempt at a solution

I first tried assuming that a limit existed, but I didn't get a contradiction. (I had x = 2 + 1/x, x = (2 \pm \sqrt{5})/2, which could make sense.)

thankS!

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# Homework Help: Recursive Limit

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