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limn→∞nksin2(n!)n+2= ?\large \displaystyle \lim_{n\to\infty}{\dfrac{n^{k}\sin^{2}\left(n!\right)}{n+2}} = \, ? n→∞limn+2nksin2(n!)=?
Details and assumptions: 0<k<10<k<10<k<1.
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