Question

Let the nth term of a sequence be given by an = sin(n2)/n for n ≥...

Let the nth term of a sequence be given by an = sin(n2)/n for n ≥ 1.

1. Is the sequence bounded? If so, by what values?
2. Is the sequence eventually monotone? If so, for what value of N is {an}∞n=N monotone?

3. Is the sequence increasing? Decreasing?

Math   Calculus   
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