Evaluate: \displaystyle{\left(\text{lim}\right)}_{{{n}\vec{\infty}}}{n}^{{-{{n}}}}^{2}{\left\lbrace{\left({n}+{2}^{{0}}\right)}{n}+{2}^{{-{1}}}\right)}{\left({n}+{2}^{{-{2}}}\right)}{\left({n}+{2}^{{-{n}+{1}}}\right)}{\rbrace}^{{n}}

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Evaluate: \displaystyle{\left(\text{lim}\right)}_{{{n}\vec{\infty}}}{n}^{{-{{n}}}}^{2}{\left\lbrace{\left({n}+{2}^{{0}}\right)}{n}+{2}^{{-{1}}}\right)}{\left({n}+{2}^{{-{2}}}\right)}{\left({n}+{2}^{{-{n}+{1}}}\right)}{\rbrace}^{{n}}

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Question Text

Evaluate: \displaystyle{\left(\text{lim}\right)}_{{{n}\vec{\infty}}}{n}^{{-{{n}}}}^{2}{\left\lbrace{\left({n}+{2}^{{0}}\right)}{n}+{2}^{{-{1}}}\right)}{\left({n}+{2}^{{-{2}}}\right)}{\left({n}+{2}^{{-{n}+{1}}}\right)}{\rbrace}^{{n}}

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