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I'd like to say logarithmically decreasing but it does not have to decrease to zero.

An example of an increasing function which flattens out at around 4.5%.

enter image description here

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    @Jonas: No, they don't "flatten out". Horizontal asymptote is exactly what I was looking for.2011-02-08

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I don't know what "flattens out" means (and your image doesn't load), but maybe you're thinking of functions of a variable $x$ which tend monotonically to a limit as $x$ tends to infinity. Having a "horizontal asymptote" is another common related term.

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    The image problem might be fixed. $A$nd that sounds about right.2011-02-07