So, the z-transform of \(30^k u[k]\) is \(\frac{1}{1-30z^{-1}}\) for \(|30z^{-1}|<1\), or equivalently, \(|z|>30\).
Similarly, the z-transform of \(-50^k u[-k-1]\) is \(-\frac{1}{1-50z}\) for \(|50z|<1\), or equivalently, \(|z|<\frac{1}{50}\).
Therefore, the
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