Determine if the sequence $(a_n)$ defined by $a_n := \frac{\cos{\left(e^{n^n}\right)}}{n^2}$ converges or diverges. If it converges, determine its limit.
Okay so the solution is $0$ (so it does converge). I just have a question on where to start, clearly we cannot use L'Hopital's rule. Thank you for the help!
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3Hint : $cos(x) \leq 1$ – The Demonix _ Hermit Oct 08 '19 at 07:21