Difference between revisions of "Math 22 Natural Exponential Functions"
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==Limit Definition of <math>e</math>== | ==Limit Definition of <math>e</math>== | ||
| + | The irrational number <math>e</math> is defined to be the limit: | ||
<math>\lim_{x\to 0} (1+x)^{\frac{1}{x}}=e</math> | <math>\lim_{x\to 0} (1+x)^{\frac{1}{x}}=e</math> | ||
Revision as of 06:48, 11 August 2020
Limit Definition of
The irrational number 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}
is defined to be the limit:
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 \lim_{x\to 0} (1+x)^{\frac{1}{x}}=e}
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