Difference between revisions of "Manuals/calci/EXP"
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*It can calculate the sum of infinite series: <math>e=1+(1/1)+(1/1.2)+(1/1.2.3)+(1/1.2.3.4) +...</math> | *It can calculate the sum of infinite series: <math>e=1+(1/1)+(1/1.2)+(1/1.2.3)+(1/1.2.3.4) +...</math> | ||
*And the inverse function of the natural logarithm function is the exponential function: | *And the inverse function of the natural logarithm function is the exponential function: | ||
| − | + | <math>f^{-1}(x) = e^x</math>. | |
==Examples== | ==Examples== | ||
Revision as of 06:10, 21 November 2013
EXP(x)
- where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} is the number .
Description
- This function gives the Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e} raised to the power of number.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle EXP(x)} , where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} represents the exponent of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e} , or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e^x} .
- The approximate value of the constant Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e=2.718281828459045} and it is equal to Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e^x} or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle EXP(1)} .
- It is called the Mathematical Constant or Euler's Number or Napier's Constant.
- It is the base of natural logarithm.
- It can calculate the sum of infinite series: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e=1+(1/1)+(1/1.2)+(1/1.2.3)+(1/1.2.3.4) +...}
- And the inverse function of the natural logarithm function is the exponential function:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f^{-1}(x) = e^x} .
Examples
- EXP(1)=2.718281828459045
- EXP(0)=1
- EXP(-5)=0.0067379469990
- EXP(6.3)=544.5719101259