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If lim(n rarr oo)(prod(r=1)^(n)sin((r pi...

If `lim_(n rarr oo)(prod_(r=1)^(n)sin((r pi)/(4n))cos((r pi)/(4n)))^((1)/(n))=(a)/(b)` `a,b in N` then find the least value of `(a+b)`

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