The Z-transform function of a stable system is given as

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The Z-transform function of a stable system is given as The impuse response h[n] is

1. 2ⁿ u[-n + 1]- 1 ⁿ u[n]
  2
2. 2ⁿ u[-n - 1] + - 1 ⁿ u[n]
  2
3. 2ⁿ u[-n - 1] + - 1 ⁿ u[n]
  2
4. 2ⁿ u[n] + - 1 ⁿ u[n]
  2

Correct Option: C

X(z) =	1			+		1				h[n] is stable

	1 - 2z^-1					1 +	1	z^-1
							2

So ROC includes | z| = 1
ROC: 1/2 < | z| < 2

2ⁿ u[-n - 1] +		- 1		ⁿ	u[n]
		2