some typos

This commit is contained in:
Fang Liu
2025-08-29 13:52:29 +08:00
parent 7c869a83ce
commit bf2d5f6c76
2 changed files with 2 additions and 2 deletions

View File

@@ -311,7 +311,7 @@ This progression can be seen to be increasing. Cauchy, in his treatise, can see
$$
\begin{align*}
(1 + \frac{1}{m})^n &= 1 + \frac{1}{1} + \frac{1}{1\cdot 2}(1 - \frac{1}{m}) + \\
(1 + \frac{1}{m})^m &= 1 + \frac{1}{1} + \frac{1}{1\cdot 2}(1 - \frac{1}{m}) + \\
& \frac{1}{1\cdot 2\cdot 3}(1 - \frac{1}{m})(1 - \frac{2}{m}) + \cdots \\
&+
\frac{1}{1 \cdot 2 \cdot \cdots \cdot m}(1 - \frac{1}{m}) \cdot \cdots \cdot (1 - \frac{m-1}{m}).