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Exponentially Decreasing Function
An exponentially decreasing function, in the constant-rate exponential decay model, has the form
where
Decay faster than every inverse power does not by itself imply exponential decay. For example, See alsoExponential Function, Exponentially Increasing Function, Logarithmically Decreasing Function, Logarithmically Increasing FunctionExplore with Wolfram|Alpha
More things to try: ReferencesStrang, G. and Herman, E. J. "Exponential Growth and Decay." §6.8 in Calculus Volume 1. Houston, TX: OpenStax, 2016. https://openstax.org/books/calculus-volume-1/pages/6-8-exponential-growth-and-decay.Referenced on Wolfram|AlphaExponentially Decreasing FunctionCite this as:Weisstein, Eric W. "Exponentially Decreasing Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ExponentiallyDecreasingFunction.html Subject classifications | |
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and 
are constants. Its 
(Strang and Herman 2016). The prototypical example
is the 
,
decreases faster than 
for every fixed 
as 
,
for every fixed 
.