The sum of the series - n-1 -sin n- 720 is

The correct option is C sin( π 6 ) +sin( π 30 ) +sin( π 120 ) +sin( π 360 ) +sin( π 720 ) =∑_n=1^∞ sin(n!π6!) =sin(1!π6!)+sin(2!π6!)+sin ...

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Summation by Sigma Method

The sum of th...

Question

The sum of the series $\sum_{n = 1}^{\infty} sin (\frac{n! π}{720})$ is

sin (\frac{π}{180}) + sin (\frac{π}{360}) + sin (\frac{π}{540})

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sin (\frac{π}{6}) + sin (\frac{π}{30}) + sin (\frac{π}{120}) + sin (\frac{π}{360})

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sin (\frac{π}{6}) + sin (\frac{π}{30}) + sin (\frac{π}{120}) + sin (\frac{π}{360}) + sin (\frac{π}{720})

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sin (\frac{π}{180}) + sin (\frac{π}{360})

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