Ramanujan's simple question who failed world prominient mathematician

It's a funny but great story about Sriniwasan Ramanujan, when Ramanujan send a question of mathematics to Cambridge University Mathematics Head G.H Hardey. And Hardy Was unable to solve this question. Even when G.H Hardeysent it to mathematician of other universities, They were too failed to Solve this problem.

Here is the question and it's solution.
X=√(1+2√(1+3√(1+4√(1+5√(1+...........Up to infinity..

Try this!!!!!