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$z_n = (1 + \frac{2i}{n})^{\frac{n}{2}}$

$z_n = (1 - \frac{1}{n})^n$

$z_n = (n + i)^{1/n}$

$z_n = \left(1 - \frac{1}{n^2}\right)^n$

$z_n = (1 + n)^{1/n}$

$z_n = (i \cdot n!)^{1/n}$

$z_n = \left(1 + \frac{1}{2n}\right)^{2n}$

$z_n = \left(1 + \frac{3}{n}\right)^{2n}$

$z_n = \frac{(n + i)!}{n^n}$

$z_n = i^n$

$z_n = \left(\frac{1}{n-i}\right)^n$

$z_n = \left(\frac{n+1}{n}\right)^n$

$z_n = (\cos(\frac{3}{n}) + i\sin(\frac{3}{n}))^{3n}$

$z_n = n^{i/n}$

$z_n = \left(\frac{2n}{2n+1}\right)^n$

$z_n = \left(1 - \frac{i}{2n}\right)^{4n}$

$z_n = ni$

$z_n = \left(\frac{n}{n+i}\right)^n$

$z_n = \left(\frac{n-1}{n} + \frac{i}{n}\right)^n$

$z_n = (\cos(\frac{1}{n}) + i\sin(\frac{1}{n}))^n$

$z_n = \left(1 - \frac{2}{n} + \frac{i}{n^2}\right)^n$

$z_n = 1 + \frac{(i \pi)^n}{n!}$

$z_n = (1 + \frac{i}{n})^n$

$z_n = (-1)^n$

$z_n = \left(\frac{n+i}{n}\right)^{2n}$

$z_n = \left(1 + \pi i / n\right)^n$

$z_n = \left(\frac{1}{1 + i/n}\right)^n$

$z_n = \left(n^2 + i\right)^{1/n}$

$z_n = \frac{i^n}{n^2}$