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Define a sequence by a_n = 5 + [sin(n)/2n] State whether the sequence converges or diverges. If the sequence converges determine what limit it...

Define a sequence by

a_n = 5 + [sin(n)/2n]

State whether the sequence converges or diverges. If the sequence converges determine what limit it converges to and prove it. If the sequence does not converge, prove it.

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