Consider the sequence $$a_n=\frac{\cos(n^{2})}{n}.$$ Describe the behavior of the sequence.

Is the sequence monotone?

Select Monotone increasing for all n Monotone decreasing for all n Neither

Is the sequence bounded?

Select Bounded Only bounded above Only bounded below Unbounded

Determine whether the sequence converges or diverges. If it converges, find the value it converges to. If it diverges, enter DIV.