Calculate: (√(1 + (√(2 + (√(3 + (√(4 + (√(5 + ...))))))))))


Question and Answers Forum

All Questions Topic List
Limits Questions
Previous in All Question Next in All Question
Previous in Limits Next in Limits
Question Number 107598 by mathDivergent last updated on 11/Aug/20

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

$u s i n g a c a l c u l a t o r a n d p a t i e n c e$ $I s t a r t e d w i t h$ $100$ $99 + \sqrt{100}$ $98 + \sqrt{l a s t a n s w e r}$ $. . .$ $I {d o n}^{'} t s e e a n y v a l u e d e p e n d e n t o n e, π o r$ $o t h e r k n o w n c o n s t a n t s b u t I m i g h t b e w r o n g$ $a n d p l e a s e {d o n}^{'} t s a y ‘ ‘ {S i r}^{″} a s I^{'} m a w o m a n$ $n o m a t t e r w h a t y o u o r o t h e r s m a y t h i n k$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum