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Sequences and Limits

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DOI: 10.4236/apm.2015.52007    3,384 Downloads   4,518 Views   Citations


It is widely held that irrational numbers can be represented by infinite digit-sequences. We will show that this is not possible. A digit sequence is only an abbreviated notation for an infinite sequence of rational partial sums. As limits of sequences, irrational numbers are incommensurable with any grid of decimal fractions.

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The authors declare no conflicts of interest.

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Mueckenheim, W. (2015) Sequences and Limits. Advances in Pure Mathematics, 5, 59-61. doi: 10.4236/apm.2015.52007.


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