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Consider a discrete-time linear time invariant system with impulse response $h[n]=\delta[n]-\delta[n-1]$. What is the output of the system, $y[n]$, when the input is $x[n]=u[n]$?
$y[n] = u[n]$
$y[n] = u[n-1]$
$y[n] = \delta[n]$
$y[n] = \delta[n-1]$
$y[n] = \delta[n] - \delta[n-1]$