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z,\overline{z}
\lim_{n\to\infty}S_{2n}
1-\frac{1}{2}+\frac{1}{3}-\cdots+\frac{(-1)^{n+1}}{n}+\cdots=\log2
{\lambda+\mu \choose n} = \sum_{i=0}^{n} {\lambda \choose i}{\mu \choose n-i}
2n