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Q31Section B (Section B)31 of 60

Limsup and liminf of a periodic sine

Let the sequence {xn}n≥1\{x_{n}\}_{n\ge 1} be given by xn=sin⁡nπ6x_{n}=\sin\dfrac{n\pi}{6}, n=1,2,…n=1,2,…. Then which of the following statements is/are TRUE?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.