A Proof Of Cantor's Theorem
Abstract
We present a short proof of Cantor's Theorem (circa 1870s): if an nx + bn nx 0 for each x in some (nonempty) open interval, where an, bn are sequences of complex numbers, then an and bn converge to 0.
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We present a short proof of Cantor's Theorem (circa 1870s): if an nx + bn nx 0 for each x in some (nonempty) open interval, where an, bn are sequences of complex numbers, then an and bn converge to 0.