I read from Wikipedia that there are sets of naturals whose asymptotic density is undefined. How can this possibly be? Can anyone show me an example?
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1The answers to this question give some examples, but I think bof's answer is excellent. – Michael Albanese Jun 05 '14 at 23:50
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1The asymptotic density is defined as a certain limit, and in general limits can fail to exist. – Qiaochu Yuan Jun 06 '14 at 00:09
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What is the asymptotic density of the set of natural numbers with an odd number of digits?
bof
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