1. I had a hard time understanding the very last part where it describes the "faster method." Other than that, the section was pretty straight forward.
2. I have never thought this concept before. It's really cool. It's cool that if the number you are approximating is irrational, then you will end up with an infinite series with an upper bound as the number you are approximating. If the number you are approximating is rational, eventually you will get an exact representation of it using this algorithm.
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