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--- science:math:common_series [2021/02/10 08:39]
zhwiki created
+++ — (current)
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-====== 常用级数 ======
-一般形式：
-$$
-\frac{1}{1-x}=1+x+x^2+\dots+x^n+\dots \quad (x<1)
-$$
-永续年金用到的形式：
-$$
-\frac{1}{x-1}=\frac{1}{x}+\frac{1}{x^2}+\dots+\frac{1}{x^n}+\dots \quad (x>1)
-$$
-永续增长年金用到的形式：
-$$
-\frac{1}{x-a}=\frac{1}{x}+\frac{a}{x^2}+\dots+\frac{a^{n-1}}{x^n}+\dots \quad (x>a)
-$$

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