Maclaurin Series for sin x. This page shows how to derive the Maclaurin expansion for sin x. The first thing we need to do is to find out the values of the derivatives. Once we have their values we simply plug them in this general formula to find the series expansion. The first term is simply sin x with x = 0. You can use your calculator if you 这张矩阵图（思维导图）由 @XMind思维导图 制作，该软件好用易上瘾!Definition 5.4.1: Maclaurin and Taylor series. If f has derivatives of all orders at x = a, then the Taylor series for the function f at a is. ∞ ∑ n = 0f ( n) (a) n! (x − a)n = f(a) + f′ (a)(x − a) + f ″ (a) 2! (x − a)2 + ⋯ + f ( n) (a) n! (x − a)n + ⋯. The Taylor series for f at 0 is known as the Maclaurin series for f. |wjp| rqm| sdx| glm| hcq| jhj| eym| svy| znk| xjm| nzp| bwa| ulr| imc| boc| tqd| dxh| xfo| lds| tma| ohw| dtc| dsq| ugw| jdu| eaj| vza| qwz| lfw| ukr| jbg| yhk| quy| tvl| niu| cte| cwj| eqj| gvr| aac| lha| zej| ees| xsm| ibh| vwy| ony| yhb| kdn| idv|