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The sum of the series sum (n=1) ^(oo) si...

The sum of the series `sum _(n=1) ^(oo) sin ((n!pi)/(720))` is

A

`sin ((pi)/( 180 ))+ sin ((pi)/( 360) ) + sin ((pi)/( 540))`

B

`sin ((pi) /(6)) + sin ((pi)/( 30)) + sin ((pi)/( 120)) + sin ((pi)/( 360))`

C

`sin ((pi)/( 6)) + sin ((pi)/( 30)) + sin ((pi)/(120)) + sin ((pi)/( 360)) + sin ((pi)/( 720))`

D

`sin ((pi)/( 180)) + sin ((pi)/( 360))`

Text Solution

Verified by Experts

The correct Answer is:
C
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