Portal:Mathematics/Featured article/2007 12
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| e is the unique number such that the slope of of y=ex (blue curve) is exactly 1 when x=0 (illustrated by the red tangent line). For comparison, the curves y=2x (dotted curve) and y=4x (dashed curve) are shown. |
- The sum of the infinite series
- where n! is the factorial of n.
- The global maximum of the function
- The limit (which arises in the compound-interest problem):
The number e is also the base of the natural logarithm. Since e is transcendental, and therefore irrational, its value can not be given exactly. The numerical value of e truncated to 20 decimal places is 2.71828 18284 59045 23536.
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