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.