### Identity NO. 4 : Square root “sequence” of 2

30Dec07

Reading some of the Lev Kourliandtchik books, I’ve found a tricky observation how to write this gigantic expression in an extremely simple,

with number of square roots.

It’s easy to check that

and using that equality we have

cool, huh? 🙂

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Filed under: Identity, Mathematics, Science | 5 Comments

Tags: 2, cos, cosinus, form, Identity, roots, sequence, short, square

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Ya, cool 😀

And then as , the limit is 2, as you’d expect using induction. 🙂

btw. you have an error here.

You should have written (cos x)^2 instead of cos x^2. Currently it looks as it’s an argument what’s squared but it’s not true 🙂

Bryce Sheppard is a genius..whoever he is.

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