The least positive integer \( n \) for which \( \left(\frac{1+i}{1-...

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The least positive integer \( n \) for which \( \left(\frac{1+i}{1-i}\right)^{n}=\frac{2}{\pi} \sin ^{-1}\left(\frac{1+x^{2}}{2 x}\right) \), where \( x0 \) and \( i=\sqrt{-1} \) is
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