Find the limit as (n longrightarrow infty) of (T^{n}), where (T) is the transition matrix of the

Question:

Find the limit as $n \longrightarrow \infty$ of $T^{n}$, where $T$ is the transition matrix of the Markov chain of Exercise 2 of Section 4.4. The transition matrix and diagram are shown below for your convenience; note that when multiple edges are directed out of a state, the chain is equally likely to visit any of the states to which these edges point.

image text in transcribed