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There will probably be a series of comments like this. There must be a limit but it could be infinite.

You're assuming the comments will converge. But what if we cannot find a vicinity where all the bits can be located in?

At this point we may be tangent to the comment’s original arc.

Epsilon.

We can state with certainty that the number of comments is monotonically increasing.

the fact that the numbers of terms (errrm... comments) in a series is growing is no guarantee that the it will converge