A discrete-time signal is being given as:

\(x\left[ n \right] = 11 + \sin \left( {\frac{{n\pi }}{3}} \right) - \cos \left( {\frac{{n\pi }}{5}} \right) + 2\cos \left( {\frac{{n\pi }}{7} - \frac{\pi }{4}} \right)\)

What will be the period of the signal?

1
periodic with period 105
2
periodic with period 210
3
periodic with period 315
4
Not periodic

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