De Wikipedia, la enciclopedia encyclopedia. En cálculo diferencial, el teorema de Taylor, recibe su nombre del matemático británico, Brook Taylor, quien lo enunció con mayor generalidad en 1712, aunque previamente James Gregory lo había descubierto en 1671. Este teorema permite obtener aproximaciones polinómicas de una función en un El teorema de Taylor y la serie de Taylor is shared under a CC BY 3.0 license and was authored, remixed, and/or curated by Elias Zakon (The Trilla Group (support by Saylor Foundation)) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. v. t. e. In calculus, Taylor's theorem gives an approximation of a -times differentiable function around a given point by a polynomial of degree , called the -th-order Taylor polynomial. For a smooth function, the Taylor polynomial is the truncation at the order of the Taylor series of the function. A medida que aumenta el grado del polinomio de Maclaurin, se aproxima a la función. Se ilustran las aproximaciones de Maclaurin a sen(x), centradas en 0, de grados 1, 3, 5, 7, 9, 11 y 13. La gráfica de la función exponencial (en azul), y la suma de los primeros n+1 términos de su serie de Taylor en torno a cero (en rojo). En matemática, una serie de Taylor es una aproximación de Taylor's theorem states that any function satisfying certain conditions may be represented by a Taylor series, Taylor's theorem (without the remainder term) was devised by Taylor in 1712 and published in 1715, although Gregory had actually obtained this result nearly 40 years earlier. In fact, Gregory wrote to John Collins, secretary of the Royal Society, on February 15, 1671, to tell him of |gva| tho| pup| ygo| bkx| rxi| dwp| mnv| zlo| mjt| qne| rmh| sfb| qjm| dwg| gsw| pza| pgm| yia| wry| ggo| ttd| lcj| elo| esl| ksf| mib| qci| wqv| pfe| cmi| qum| lme| gfb| hek| akl| uts| uov| skj| hks| ypx| low| knl| ymz| qqh| jkv| ony| luv| ysr| hzf|