\[\begin{aligned} f(x)_{\text {Taglor}} &=\sum_{n=0}^{\infty} \frac{f^{(n)}(a)}{n !} \times(x-a)^{n} \\ &=f(a)+\frac{f^{\prime}(a)}{1 !}(x-a)+\frac{f^{(2)}(a)}{2 !}(x-a)^{2}+\cdots+\frac{f^{(n)}(a)}{n !}(x-a)^{n}+R_{n}(x) \end{aligned}\]

References

  1. 【直观详解】泰勒级数