Exponential function as a power series (Q1684): Difference between revisions

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e^{x}=\\sum_{n=0}^{\\infty}\\frac{x^{n}}{n!}=1+x+\\frac{x^{2}}{2!}+\\frac{x^{3}}{3!}+\\frac{x^{4}}{4!}+\\cdots
 
Property / LaTeX source: e^{x}=\\sum_{n=0}^{\\infty}\\frac{x^{n}}{n!}=1+x+\\frac{x^{2}}{2!}+\\frac{x^{3}}{3!}+\\frac{x^{4}}{4!}+\\cdots / rank
Normal rank
 
Property / instance of
 
Property / instance of: mathematical expression / rank
 
Normal rank
Property / LaTeX source
 
e^{x}=\\sum_{n=0}^{\\infty}\\frac{x^{n}}{n!}=1+x+\\frac{x^{2}}{2!}+\\frac{x^{3}}{3!}+\\frac{x^{4}}{4!}+\\cdots
Property / LaTeX source: e^{x}=\\sum_{n=0}^{\\infty}\\frac{x^{n}}{n!}=1+x+\\frac{x^{2}}{2!}+\\frac{x^{3}}{3!}+\\frac{x^{4}}{4!}+\\cdots / rank
 
Normal rank

Latest revision as of 15:17, 4 September 2026

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Exponential function as a power series
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    Statements

    e^{x}=\\sum_{n=0}^{\\infty}\\frac{x^{n}}{n!}=1+x+\\frac{x^{2}}{2!}+\\frac{x^{3}}{3!}+\\frac{x^{4}}{4!}+\\cdots
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