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

Let S_1 = 1 and for n >= 1 let S_n+1 = sqrt(S_n + 1)

e.g. s_2 = sqrt(2), s_3 = sqrt(sqrt(2) + 1), etc.

Prove lim(S_n) = 1/2(1 + sqrt(5)).

2. Relevant equations

3. The attempt at a solution

Not really sure how to approach this. This is right after the "Limit Theorems" section in our book, so I would assume I have to use some limit theorems. The tricky part is figuring out which ones to use! Thanks for any help.

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# Homework Help: Quick Analysis Problem

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