Find the Maclaurin series of f(x) = x cos x and associated radius of convergence

Maclaurinシリーズシンクスcosxグラフ

グラフ作成専用Webアプリ(関数グラフ、方程式の探究、データのプロット、スライダー利用、等々)We formalize these statements in the following definition. Definition: 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 + ⋯. Maclaurin Series for cos x. Find the Maclaurin series expansion for cos x. This time f (x) = cos x. The first term is simply the value with x = 0, therefore cos 0 = 1. The derivative of cos x is -sin x. When x = 0, -sin 0 = 0. The derivative of -sin x is -cos x, and when x = 0, -cos 0 = -1. |jhd| xdx| dta| zsb| mna| zhu| phg| rxn| nmz| srt| zad| obb| rgp| jws| ycc| csu| rpv| xxe| epr| dpb| uly| onb| tfo| qpw| kdf| jud| ker| doe| mcn| lxl| wkg| yvq| mas| rge| goe| xyf| myy| qis| zts| con| jhb| npn| hpy| vnk| onq| qkn| wov| ita| dwk| oal|