One One One One One One Forever

Calculus Level 3

111+1+1+1+11+1+1\Large { \frac{1}{ \frac{1}{\frac{1}{\ldots}+1+\frac{1}{\ldots}} +1+ \frac{1}{\frac{1}{\ldots}+1+\frac{1}{\ldots}} }}

What is the value of the nested functions above?


This problem is a part of set nested radicals.
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