Difference between r1.11 and the current
@@ -24,10 +24,20 @@
$\sin x=\sum_{m=0}^{\infty}\frac{(-1)^m x^{2m+1}}{(2m+1)!}=x-\frac{x^3}{3!}+\frac{x^5}{5!}-\frac{x^7}{7!}+\cdots$(Kreyszig 5.1 앞부분)
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$\sin x = \sum_{n=0}^{\infty}(-1)^n\frac{x^{2n+1}}{(2n+1)!}=x-\frac{x^3}{3!}+\frac{x^5}{5!}-\cdots\quad(-\infty<x<\infty)$
$\cos x = \sum_{n=0}^{\infty}(-1)^n\frac{x^{2n}}{(2n)!}=1-\frac{x^2}{2!}+\frac{x^4}{4!}-\cdots\quad(-\infty<x<\infty)$
$e^x=\sum_{n=0}^{\infty}\frac{x^n}{n!}=1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\frac{x^4}{4!}+\cdots\quad(-\infty<x<\infty)$
$\ln(1+x)=\sum_{n=1}^{\infty}(-1)^{n+1}\frac{x^n}{n}=x-\frac{x^2}{2}+\frac{x^3}{3}-\frac{x^4}{4}+\cdots\quad(-1<x\le 1)$
1이라고? chk
## tmp from https://www.youtube.com/watch?v=WYicw5Z_vKQ ; chk
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http://mathworld.wolfram.com/MaclaurinSeries.html
Up: [[급수,series]]
테일러_급수,Taylor_series의 특수한 경우. 중심이 0인 경우.
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