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Question Number 107598 by mathDivergent last updated on 11/Aug/20

Calculate : \sqrt{1 + \sqrt{2 + \sqrt{3 + \sqrt{4 + \sqrt{5 + \dots}}}}}

Commented by Her_Majesty last updated on 11/Aug/20

\approx 1.75793275662

Commented by Dwaipayan Shikari last updated on 11/Aug/20

S i r, h o w c a n i g e t t h i s ?

Commented by Her_Majesty last updated on 11/Aug/20

u s i n g a c a l c u l a t o r a n d p a t i e n c e

I s t a r t e d w i t h

100

99 + \sqrt{100}

98 + \sqrt{l a s t a n s w e r}

\dots

I {d o n}^{'} t s e e a n y v a l u e d e p e n d e n t o n e, π o r

o t h e r k n o w n c o n s t a n t s b u t I m i g h t b e w r o n g

a n d p l e a s e {d o n}^{'} t s a y “ {S i r}^{″} a s I^{'} m a w o m a n

n o m a t t e r w h a t y o u o r o t h e r s m a y t h i n k