Limit of an oscillating sequence

by Keith   Last Updated August 13, 2019 21:20 PM

Let $a$ be any real number. Then, how do I compute the $$ \limsup_n \left|\cos\big(a\sqrt{n^2+1}\big) \right|^{1/n}\:? $$ Also, how do I compute the value when $a$ is any complex value? The sequence is harshly oscillating... so I cannot find a way to approach

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