Might be a silly question, but is there any difference between saying that a something (limit, series and so on) converges to a value and converges against a value?
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$\begingroup$From Googling around a bit, it looks like "converges against" is a term which is sometimes (rarely) used by Germans who are translating into English. It seems to be synonymous with "converges to".
It appears to have a alternative but related meaning when considering game theory, but that appears likewise to be very rare.
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