If it exits, find the limit of the following sequences for n = 1, 2, 3. (a)

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If it exits, 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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