document.write( "Question 1061950: 1+(1/4)+(1/9)+(1/25)+........=? \n" ); document.write( "

Algebra.Com's Answer #676714 by rothauserc(4718) $\"\"$ $\"About$

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1+(1/4)+(1/9)+(1/25)+........= ?
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\n" ); document.write( "This summation is know to converge to (pi^2)/ 6 = 1.644934
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\n" ); document.write( "The summation can be written
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\n" ); document.write( "summation from k = 1,2,...,m of 1 / k^2
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\n" ); document.write( "One proof involves using De Moivre's formula and the identities for cotangent and cosecant functions.
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\n" ); document.write( "Another proof uses Fourier series
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