AMM Problem 12510 Solution
On a limit with nested radicals
In this article, I provide a solution to AMM Problem 12510.
The problem is an interesting limit of the sum of product of nested square roots.
The question looks really tricky and convoluted until it decoposes into a series of
recurrence relations that can be combined for the solution and proving it rigorously.
It felt like I just needed to take small steps and uncover small relations that combined
into an interesting form!
I hope you enjoyed reading the article
Any feedback is greatly appreciated!