# Rolling forever

Suppose I have a line of squares, labelled $$0,1,2,3,4, \ldots$$. I place a marker on the square 0. On every turn, I roll a die (with the numbers 1 to 6 and move forward as follows: if I was on square $$P$$ before the roll and I get a $$x$$ then I move to square $$P+x$$. Let $$X_n$$ be the chance that I land on the square labelled $$n$$. What is

$\displaystyle \lim_{n \rightarrow \infty} X_n ?$

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