Question

calculus sequence, see comment for question

Answer 1

Let \[a _{n} \] be the sequence defined by \[a _{1}=1\], and \[a _{n+1}=\frac{ 1 }{ 1+a _{n} }\], for \[n \ge 1.\]
Assume that the limit \[\lim_{n \rightarrow \infty} a _{n} =L\] exists, find the value of L.

Need help understanding the process.