The transfer function of a discrete time LTI system is given by

Consider the following statements:

S1: The system is stable and causal for ROC:|z|>1/2

S2: The system is stable but not causal for ROC:|z|1/4

S3: The system is neither stable nor causal for ROC: 1/4 <|z|< 1/2

Which one of the following statements is valid?
Option (A)
Both S1 and S2 are true
Option (B)
Both S2 and S3 are true
Both S1 and S3 are true
S1, S2 and S3 are all true
Correct Option:
Question Solution:
S1 true, S2 False (meter stable nor causal) S3 True