Exponential growth
This is the current revision of Exponential growth as edited by DavidE (talk | contribs) at 15:11, December 14, 2009. This URL is a permanent link to this version of this page.
Exponential growth is growth like an exponential function.
The expression "exponential growth" is often used to mean "tremendous growth" because an exponential function with a basis greater than 1 grows faster than any polynomial functions. Formally, for any basis a>1 there is a number n such that, for any x>n, x to the power of n is strictly greater than x to the power of a. Colloquially, for any pair of one exponential function and one polynomial function there is a point n at which the former, provided its exponent is large enough, will overtake the latter.