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Question Number 75736 by mathmax by abdo last updated on 16/Dec/19
$${let}\:{A}_{{n}} =\:\begin{pmatrix}{\frac{\pi}{{n}}\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{−\mathrm{1}\:\:\:\:\:\:\:\:\frac{\pi}{{n}}}\end{pmatrix}\:\:\:\:{with}\:{n}\:{integr}\:{natural}\:{not}\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{A}_{{n}} ^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} ^{{n}} \\ $$