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Limit[MatrixPower[{ {0.5,0.5,0}, {0,0.5,0.5}, {0.5,0,0.5} },n],n,Infinity]
Limit[MatrixPower[{ {0.5,0.5,0}, {0,0.5,0.5}, {0.5,0,0.5} },n],n,Infinity]
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