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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))`

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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