Can you multiply to infinity?

Calculus Level 3

Evaluate the given expression for Q:

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

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

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