Summation+nested radical
Calculus
Level
3
If \(\displaystyle \sum_{n=1}^\infty \frac{ n^2 } { 2^n } = S \),
and \( f(x) = \sqrt{ x + \sqrt{ x + \sqrt{ x + \sqrt{ x + \ldots}}}} \),
find \( f(S) \).
by
Phani Ramadevu