Tổng chuổi số Taylor

Dạng tổng quát

$\sum _{n=0}^{\mathrm{\infty }}\frac{f^{(n)}(a)}{n!}(x-a{)}^n=f(a)+\frac{f^{\prime }(a)}{1!}(x-a)+\frac{f^{″}(a)}{2!}(x-a{)}^2+\frac{f^{‴}(a)}{3!}(x-a{)}^3+\cdots$

$\sum _{n=0}^{\mathrm{\infty }}{a}_n{(x-c)}^n=a_0+a_1(x-c{)}^1+a_2(x-c{)}^2+\cdots$

$\sum _{n=0}^{\mathrm{\infty }}{a}_n{x}^n=a_0+a_{1}x+a_2{x}^2+\cdots$