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Sum of Series Using Taylor Expansion

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Begin with Taylor series for the cosine and derive the equation:

Sum (1/n^2) = Pi^2/8

Use the previous result and a smart choice of x to get that:

sqrt(2) = (2*2*6*6*10*10....)/(1*3*5*7*.....).

See the attached file.

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The 3 pages solution shows how to obtain the value of Pi^2/8 using Taylor series and how to use it in order to gt a fraction expression for square root of 2.

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