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How Slowly can a Series Converge?
Published online by Cambridge University Press: 03 November 2016
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Let f(x) (x≥0) be a positive continuous function. Associated with f(x), we can define a sequence of numbers {an} by setting an = f(n). Conversely, given any sequence of positive numbers {an}, we can find a positive continuous function f(x) such that f(n) = an. Of course, in this latter case, there is more than one such function f(x), but this is not relevant.
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- Copyright © Mathematical Association 1972
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