Školjka

%V0 Izračunajte vrijednost produkta $$$\begin{align*} &\left( 1+\frac{1+i}{2} \right) \left( 1+ \left( \frac{1+i}{2} \right)^2 \right) \left( 1+{\left( \frac{1+i}{2} \right)^2}^2 \right) \ldots \\ &\left( 1+{\left( \frac{1+i}{2} \right)^2}^k \right) \ldots \left( 1+{\left( \frac{1+i}{2} \right)^2}^{2001} \right) \text{.} \end{align*}$$$