really awesome!

Algebra Level 3

1 + 2 1 + 4 1 + 8 1 + 16 1 + . . . ∞ \sqrt{1+2\sqrt{1+4\sqrt{1+8\sqrt{1+16\sqrt{1+...\infty}}}}} = X =X

Find X X

Calvin edit: The above pattern is not obvious. I believe that it should be 1 + 16 1 + 16 , instead of just 16.


The answer is 4.

Moaj Ahmed by Moaj Ahmed , 25, Bangladesh

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