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The Z-transform of a discrete signal 
is
Which one of the following statements is true?
Discrete-time Fourier transform of converges if 
is 
Discrete-time Fourier transform of converges if is 
Discrete-time Fourier transform of converges if is such that is a left-sided sequence
Discrete-time Fourier transform of converges if is such that is a rightsided sequence
Based on pole location, there are 4 possible ROCs
ROC-1 : ∴ |Z| < 1/5, x[n] is a left-sided sequence unit circle does not lie in this ROC : DTFT does not converge.
ROC-2: 
Unit circle does not lie in this ROC ∴ DTFT does not converge.
ROC – 3: 
Unit circle lies in this ROC ∴DTFT converges
ROC-4: |Z| > 3, x[n] is a right-sided sequence unit circle does not lie in this ROC ∴ DTFT does not converges.