Random Thoughts

# An Interesting Maths Problem

There was one day when i walked into SPS room I saw this question on the whiteboard, Anyone can prove that

$\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{...}}}}=3$

I knew it’s a waste of time to work on this and it doesn’t seem to carry any physical significance, but I just couldn’t help thinking about it and trying to figure it out! Is it a disease?