Definitions of number, as given by several later mathematicians, make the limit of an infinite sequence identical with the sequence itself. Under this view, the question as to whether the variable reaches its limit is without logical meaning. Thus the infinite sequence .9, .99, .999,... is the number one, and the question, “Does it ever reach one?” is an attempt to give a metaphysical argument which shall satisfy intuition.
-Carl B. Boyer
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