Exponential growth

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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.

See also