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## Homework Statement

Let t1=sqrt(2)

Let t_(n+1)=sqrt(2+sqrt(t_n)) (it's a recursively defined series)

What does it converge to?

## Homework Equations

## The Attempt at a Solution

I calculated it out for some values andI get 1.8312 (approx), but I don't want to express it in decimals, and I want to know if there's a good way to do this.