Vidyamanohar

A place I would like to share some concepts, ideas, puzzles that simulate the minds of those interested in Math - for competitions or fun.

Saturday, February 18, 2012

Puzzle 31 - Limit

Evaluate $\mathop {\lim }\limits_{n \to \infty } \left( {\frac{1}{{\sqrt 2 }}\sqrt {\frac{1}{2} + \frac{1}{2}\frac{1}{{\sqrt 2 }}} \sqrt {\frac{1}{2} + \frac{1}{2}\sqrt {\frac{1}{2} + \frac{1}{2}\frac{1}{{\sqrt 2 }}} } ...n\,terms} \right)$

Posted by Vidyamanohar at 3:03 PM

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3 comments:

Vidyamanohar said...: Click here for solution; 8:38 AM
Unknown said...: the answer is (2/pi). this expansion is called FRANCOIS VIETE'S FORMULA; 9:25 PM
Unknown said...: This comment has been removed by the author.; 9:25 PM