View source for E infinity and P infinity - Mark Scherschel II (mschersc) - Rhea

<math>x(t) = \sqrt{t}</math>

<math>E_{\infty} = \int_{-\infty}^{\infty}|x(t)|^{2}dt</math>

<math>E_{\infty} = \int_{-\infty}^{\infty}|\sqrt{t}|^{2}dt</math>

<math>E_{\infty} = \int_{-\infty}^{\infty}t dt</math>

<math>E_{\infty} = \frac{1}{2}t^{2}|_{-\infty}^{0}+\frac{1}{2}t^{2}|_{0}^{\infty}</math>

<math>E_{\infty} = \infty</math>



<math>P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{2T}\int_{-T}^{T}|x(t)|^{2}dt</math>

<math>P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{2T}(.5T^{2}|_{-\infty}^{0}+.5T^{2}|_{0}^{\infty})</math>

<math>P_{\infty} = lim_{T\rightarrow\infty}\frac{1}{4}(T|_{-\infty}^{0}+T|_{0}^{\infty})</math>

<math>P_{\infty} = \infty</math>