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?

Math1 Math2

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