# When will it end?

The following expressions are written so that they require an infinite number of terms.  Can you rewrite either of them in a closed form?

1.   $\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+...}}}}$

2.   $1+\displaystyle\frac{1}{1+\frac{1}{1+\frac{1}{1+...}}}$