Consider a Markov chain with states 0, 1, 2, 3, 4. Suppose P0,4 = 1; and suppose

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Consider a Markov chain with states 0, 1, 2, 3, 4. Suppose P0,4 = 1; and suppose that when the chain is in state i, i > 0, the next state is equally likely to be any of the states 0, 1, . . . , i − 1. Find the limiting probabilities of this Markov chain.

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