Formula q_205 (Q152): Difference between revisions

Latest revision as of 12:58, 20 April 2020

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English	Formula q_205	No description defined

q_205

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x-{\frac {x^{3}}{3\times 3!}}+{\frac {x^{5}}{5\times 5!}}-{\frac {x^{7}}{7\times 7!}}+\cdots =\sum _{n=0}^{\infty }(-1)^{n}{\frac {x^{(2n+1)}}{(2n+1)\times (2n+1)!}}

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Revision as of 12:58, 20 April 2020 SchuBot (talk \| contribs) SchuBot, Bots, Bureaucrats, flow-bot, Suppressors, Administrators 4,665 edits ‎Created claim: arqmath formula id (P8): q_205 ← Older edit	Latest revision as of 12:58, 20 April 2020 SchuBot (talk \| contribs) SchuBot, Bots, Bureaucrats, flow-bot, Suppressors, Administrators 4,665 edits ‎Created claim: Defining formula (P1): x-\frac{x^3}{3 \times 3!}+\frac{x^5}{5\times5!}-\frac{x^7}{7 \times 7!}+\cdots = \sum_{n=0}^\infty (-1)^n\frac{x^{(2n+1)}}{(2n+1) \times (2n+1)!}
	Property / Defining formula
		$x-{\frac {x^{3}}{3\times 3!}}+{\frac {x^{5}}{5\times 5!}}-{\frac {x^{7}}{7\times 7!}}+\cdots =\sum _{n=0}^{\infty }(-1)^{n}{\frac {x^{(2n+1)}}{(2n+1)\times (2n+1)!}}$ `x-\frac{x^3}{3 \times 3!}+\frac{x^5}{5\times5!}-\frac{x^7}{7 \times 7!}+\cdots = \sum_{n=0}^\infty (-1)^n\frac{x^{(2n+1)}}{(2n+1) \times (2n+1)!}`
	Property / Defining formula: $x-{\frac {x^{3}}{3\times 3!}}+{\frac {x^{5}}{5\times 5!}}-{\frac {x^{7}}{7\times 7!}}+\cdots =\sum _{n=0}^{\infty }(-1)^{n}{\frac {x^{(2n+1)}}{(2n+1)\times (2n+1)!}}$ / rank
		Normal rank