A place I would like to share some concepts, ideas, puzzles that simulate the minds of those interested in Math - for competitions or fun.
Click here for solution
the answer is (2/pi). this expansion is called FRANCOIS VIETE'S FORMULA
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 "\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)")
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Click here for solution
the answer is (2/pi). this expansion is called FRANCOIS VIETE'S FORMULA
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