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14 lines
668 B
14 lines
668 B

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答:$\large \frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2018}-\frac{1}{2019}=\frac{2018}{2019}$
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$\because \large \frac{3}{4 \times 7}=\frac{1}{4}-\frac{1}{7}$
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$\therefore \large 1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{46}-\frac{1}{56}=\frac{55}{56}$
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**总结:**
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