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| − | expof
| + | <div style="font-size:30px">'''EXPOF(x)'''</div><br/> |
| | + | *<math>x</math> is the number. |
| | + | |
| | + | ==Description== |
| | + | *This function gives the <math>e</math> raised to the power of number. |
| | + | *In <math>EXPOF(x)</math>, where <math>x</math> represents the exponent of <math>e</math> or <math>e^x</math>. |
| | + | *The approximate value of the constant <math>e=2.718281828459045</math> and it is equal to <math>e^x</math> or <math>EXP(1)</math>. |
| | + | *It is called the Mathematical Constant or Euler's Number or Napier's Constant. |
| | + | *It is the base of natural logarithm. |
| | + | *It can be calculate the sum of infinite series: <math>e=1+\frac{1}{1}+\frac{1}{1.2}+\frac{1}{1.2.3}+\frac{1}{1.2.3.4} +...</math> |
| | + | *And the inverse function of the natural logarithm function is the exponential function: |
| | + | <math>f^{-1}(x) = e^x</math>. |
| | + | |
| | + | ==Examples== |
| | + | #EXPOF(1) = 2.718281828459045 7.38905609893065 20.085536923187668 54.598150033144236 148.4131591025766 403.4287934927351 1096.6331584284585 2980.9579870417283 8103.083927575384 22026.465794806718 |
| | + | |
| | + | ==See Also== |
| | + | |
| | + | *[[Manuals/calci/IMEXP | IMEXP ]] |
| | + | *[[Manuals/calci/LOG | LOG ]] |
| | + | *[[Manuals/calci/LN | LN ]] |
| | + | |
| | + | ==References== |
| | + | [http://en.wikipedia.org/wiki/Exponential_function Exponential function] |
| | + | |
| | + | *[[Z_API_Functions | List of Main Z Functions]] |
| | + | |
| | + | *[[ Z3 | Z3 home ]] |