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lim-n-k-1-n-k-2-1-k-2-4-




Question Number 215051 by MrGaster last updated on 27/Dec/24
                    lim_(nā†’āˆž) Ī _(k=1) ^n ((k^2 +1)/( (āˆš(k^2 +4))))=?
$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\underset{{k}=\mathrm{1}} {\overset{{n}} {\prod}}\frac{{k}^{\mathrm{2}} +\mathrm{1}}{\:\sqrt{{k}^{\mathrm{2}} +\mathrm{4}}}=? \\ $$$$ \\ $$

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