Can you multiply to infinity?

Calculus Level 3

Evaluate the given expression for Q:

n=2(11n2)\displaystyle\prod _{ n=2 }^{ \infty }{ (1-\frac { 1 }{ { n }^{ 2 } } ) } = Q\textbf{Q}

If Q\textbf{Q} can be represented as ab\frac { a }{ b } , where a\textbf{a} and b\textbf{b} are coprime integers, then what is a+ba+b?

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