Determine the DTFT of the sequence $$y[n] = (n + 1) \alpha^{n} u[n], \mid \alpha \mid < 1.u[n]$$ is unit step sequence

A

$$Y(e^{j \omega }) = \frac{1}{(1 - \alpha e^{-j \omega })^2}$$

B

$$Y(e^{j \omega }) = \frac{1}{(1 + \alpha e^{-j \omega })^2}$$

C

$$Y(e^{j \omega }) = \frac{\alpha}{(1 - \alpha e^{-j \omega })^2}$$

D

none of the above