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Question-143048




Question Number 143048 by 0731619 last updated on 09/Jun/21
Answered by mindispower last updated on 09/Jun/21
=lim_(n→2)  (√(Γ(n)))−1/(Γ(n)−1)=(1/( (√(Γ(n)))+1))  =(1/2)
$$=\underset{{n}\rightarrow\mathrm{2}} {\mathrm{lim}}\:\sqrt{\Gamma\left({n}\right)}−\mathrm{1}/\left(\Gamma\left({n}\right)−\mathrm{1}\right)=\frac{\mathrm{1}}{\:\sqrt{\Gamma\left({n}\right)}+\mathrm{1}} \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}} \\ $$

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