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Jan 6, 2017 at 2:39 comment added Timothy Chow I would venture to guess that the question "should" have specified lim rather than liminf, though of course only Andrew S. can say for sure.
Jan 5, 2017 at 21:58 comment added Laurent Bienvenu ha indeed I read limit! So ok, as Joel says, if you only require liminf =0, the answer is obviously yes by putting in your set all strings of length N for all N in a sparse set of integers. With lim = 0 the answer is no as per my explanation.
Jan 5, 2017 at 19:59 comment added Joel David Hamkins He only has liminf, not lim, and so unless I am mistaken, your remarks about "almost all" and "tends to" seem inaccurate.
Jan 5, 2017 at 19:48 history answered Laurent Bienvenu CC BY-SA 3.0