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$\begingroup$If you share with us what you're trying to do, we may be of more help. I.e., if you're working on Wiener filters and need to separate the causal and non-causal parts of the answer, say so and we may be able to help you find a method.$\endgroup$
$\begingroup$This looks like a homework question. We'll answer it, but only in such a way as to help you get to the answer. For the three questions you've added since I posted my answer, please let us know how you'd go about establishing whether iztrans can help. We can then guide you if you go astray. Please edit your question with this extra information, and ping me and I'll reopen the question. Hint: look up "region of convergence".$\endgroup$
$\begingroup$And their examples give ans = 2^n + 2^n*(n - 1), which says that if they see a pole outside the unit circle they'll interpret it as a causal unstable system, not a non-causal stable one.$\endgroup$
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iztrans
can help. We can then guide you if you go astray. Please edit your question with this extra information, and ping me and I'll reopen the question. Hint: look up "region of convergence". $\endgroup$