The complex number \( \frac{2^{n}}{(1+i)^{2 n}}+\frac{(1+i)^{2 n}}{...
The complex number \( \frac{2^{n}}{(1+i)^{2 n}}+\frac{(1+i)^{2 n}}{2^{n}}, \frac{2^{n}}{(1+i)^{2 n}}+\frac{(1+i)^{2 n}}{2^{n}}, n \in Z \)
\( \mathrm{P} \)
W
(a) 0
(b) 2
(c) \( \left\{1+(-1)^{n}\right\} \cdot i^{n} \)
(d) none of these
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