Binomial series for (1+x)^p (Q1689): Difference between revisions

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(1+x)^{p}=1+px+\\frac{p(p-1)}{2!}x^{2}+\\frac{p(p-1)(p-2)}{3!}x^{3}+\\cdots\\qquad(-1<x<1)
 
Property / LaTeX source: (1+x)^{p}=1+px+\\frac{p(p-1)}{2!}x^{2}+\\frac{p(p-1)(p-2)}{3!}x^{3}+\\cdots\\qquad(-1<x<1) / rank
Normal rank
 
Property / instance of
 
Property / instance of: mathematical expression / rank
 
Normal rank
Property / LaTeX source
 
(1+x)^{p}=1+px+\\frac{p(p-1)}{2!}x^{2}+\\frac{p(p-1)(p-2)}{3!}x^{3}+\\cdots\\qquad(-1<x<1)
Property / LaTeX source: (1+x)^{p}=1+px+\\frac{p(p-1)}{2!}x^{2}+\\frac{p(p-1)(p-2)}{3!}x^{3}+\\cdots\\qquad(-1<x<1) / rank
 
Normal rank

Latest revision as of 15:17, 4 September 2026

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Binomial series for (1+x)^p
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    (1+x)^{p}=1+px+\\frac{p(p-1)}{2!}x^{2}+\\frac{p(p-1)(p-2)}{3!}x^{3}+\\cdots\\qquad(-1<x<1)
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