Given a (let's say analytic) real function $f(x)$, when can $f(x)$ be represented as an infinite nested radical depending on $x$, constructed from some sequence? For example, the third and fourth pages of the following link (http://www.isibang.ac.in/~sury/ramanujanday.pdf) describe such a representation when $f(x) = 1 + x$.
2026-04-08 15:45:29.1775663129
When can a function be represented by an infinite nested radical, a la a Taylor series?
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