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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 function]]s. 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.
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 function]]s. 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==
*[[Exponential decay]]
[[Category:Mathematics]]
[[Category:Mathematics]]