Summing Squares
If the above expression is equal to
find the value of
given the brackets around the expression in the question denote the fractional part function.
The answer is 3.225.
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1 solution
summation of (1 / n ^ 2) = (pi ^ 2 )/ 6
This is known as the BASEL problem.
for proof.................refer to the link
http://en.wikipedia.org/wiki/Basel_problem