On planet Pandro, there are two types of weather: rain and snow. After a rainy day, it will rain the next day with probability 0.8. After a snowy day, it will snow the next day with probability 0.7. In the long run, what proportion of days are rainy? Suppose A is a diagonalizable 3x3 matrix with eigenvalues 0.3, 0.5, and 0.5. Let v be a nonzero vector in R³. Does limt→[infinity] (A¹v) exist? If the answer is; for no v, please enter 0. for some v but not all, please enter 1. for all v, please enter 2. Note: In this context, a limit only exists if it is equal to a finite value.