Question: The system function of a causal linear time-invariant system is The input to this system is x[n] = (1/3) n u[n] + u[n 1].

The system function of a causal linear time-invariant system is

1- z-1 Н(€) 1 +


The input to this system is 

x[n] = (1/3)n u[n] + u[–n – 1].

(a) Find the impulse response of the system, h[n].

(b) Find the output y[n].

(c) Is the system stable? That is, is h[n] absolutely summable?

1- z-1 () 1 +

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