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'''Exponential growth''' is [[growth]] like an [[exponential function]].
'''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 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.
[[Category:Mathematics]]
[[Category:Mathematics]]