(Solved): Determine the total energy \( \left(\mathrm{E}_{\infty}\right) \) and average power \( \left(\math ...

Determine the total energy \( \left(\mathrm{E}_{\infty}\right) \) and average power \( \left(\mathrm{P}_{\infty}\right) \) for the following signals. a) \( x_{1}[n]=\left(\frac{1}{2}\right)^{n} u[n] \) b) \( x_{2}[n]=e^{j(n \pi / 2+\pi / 8)} \) c) \( x_{3}[n]=\cos \left(\frac{\pi}{4} n\right) \)