Consider the Markov chain with transition matrix: 0 0 0.1 0.9 0 0 0.6 0.4 0.8 0.2 0 0 0.4 0.6 0 0 Find the limit of p2n(x,x) as n -> infinity

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Consider the Markov chain with transition matrix:

0 0 0.1 0.9

0 0 0.6 0.4

0.8 0.2 0 0

0.4 0.6 0 0

Find the limit of p2n(x,x) as n -> infinity.

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