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Mathematics
Mathematics
Problem
Find the least positive integral value of n , for which
(
1
−
i
1
+
i
)
n
\left(\frac{1-i}{1+i}\right)^n
(
1
+
i
1
−
i
)
n
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, is purely imaginary with positive imaginary part.
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