If it exists, find the limit of the following sequences for n = 1, 2, 3 .

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If it exists, find the limit of the following sequences for n = 1, 2, 3 . . . :
(a) xn = (−1)n
(b) xn = sin(nπ/3)
(c) xn = n(−1)n
(d) xn = sin(nπ/3) + (−1)n/n. Is this sequence bounded?
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