Exponential function: Difference between revisions

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The '''exponential function''' is one of the most important [[function]]s in [[mathematics]]. It is written as exp(''x'') or <math>e^x</math> (where ''e'' is the [[e (mathematical constant)|base of the natural logarithm]]) and can be defined in two equivalent ways, the first an [[infinite series]], the second a [[limit]]:
 
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[[image:exp.png|The exponential function is flat for negative x's, and climbs quickly for positive x's.]]<br>
The graph of <font color=#803300>e<sup>x</sup></font> does '''not''' ever touch the x axis, although it comes arbitrarily close.