The transfer function of a discrete time LTI system is given by H(z) = $\dfrac{ 2-\dfrac{3}{4}z^{-1} }{ 1 - \dfrac{3}{4}z^{-t} + \dfrac{1}{8}z^{-2} }$ Consider the following statements: S1: The system is stable and causal for ROC:|z|>½ S2: The system is stable but not causal for ROC:|z|<¼ S3: The system is neither stable nor causal for ROC: ¼<|z|<½
Which one of the following statements is valid?
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