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elessar_iitkgp (2220)

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Olaaa!! Perrrfect answer. 380  [540 rates]

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Let y = cos/7 cos2/7 cos4/7 .....
y(2sin/7) = (2sin/7cos/7) cos2/7 cos4/7 .....upto n terms
y(2sin/7) = sin2/7 cos2/7 cos4/7 .....upto n terms
y(22sin/7)  = (2sin2/7 cos2/7) cos4/7 .....upto n terms
y(22sin/7) = sin4/7 cos4/7 .....upto n terms
Similarly
y(2nsin/7) = sin2n+1/7
y= sin2n+1/7/2nsin/7
The required sum is
S = n y =  n sin2n+1/7/2nsin/7 = 0
As the Nr is a bounded quantity lying between -1 and 1. So it has a finite value. The Dr increases without bound. Hence the quotient approaches zero.




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