Consider a signal x$($t$)$ whose Laplace transform is given by

x$($s$)=(1-$e$^(-$sT$))/($s$).$

Assume that the region of convergence of x$($s$)$ includes Re$($s$)>0.$

$($a$)$ Compute x$(0)$ and x$(\backslash$infty $)$ using the initial and final value theorems.

$($b$)$ Find x$($t$).$

$($c$)$ Plot the time waveform of x$($t$)$ and verify if the values of x$(0)$ and x$(\backslash$infty $)$ com$-$

puted in part $($a$)$ agree with the plot. Explain your answer, if they do not agree.