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電子課本網(wǎng) 第73頁

第73頁

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?$=\frac {1}{2}-\frac {1}{3}+\frac {1}{3}-\frac {1}{4}+···+\frac {1}{9}-\frac {1}{10}$?
?$=\frac {1}{2}-\frac {1}{10}$?
?$=\frac {2}{5}$?
?$=1-(\frac {1}{20}+\frac {1}{30}+\frac {1}{42}+\frac {1}{56}+\frac {1}{72}+\frac {1}{90}+\frac {1}{110}+\frac {1}{132})$?
?$=1-(\frac {1}{4}-\frac {1}{5}+\frac {1}{5}-\frac {1}{6}+···+\frac {1}{11}-\frac {1}{12})$?
?$=1- (\frac {1}{4}-\frac {1}{12})$?
?$=1-\frac {1}{6}$?
?$=\frac {5}{6}$?