Iteration, Fixed points - MIT Mathematics
5 = 0:670456597913201 x 6 = 1:001873420254987 x 7 = 0:999058025317329 x 8 = 1:000469656366881 x 9 = 0:999764840950905 x 10 = 1:000117496574880::: As n gets larger, it seems that x n converges to 1. Again, it turns out that the limiting value 1 is a xed point. Given these examples, one might think that the problem is rather easy after all: Idea ... ................
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