1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算
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![1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算](/uploads/image/z/106447-31-7.jpg?t=1%2F2-%281%2F2-1%2F3%29-%281%2F3-1%2F4%29-...-%281%2F99-1%2F100%29+%E5%88%A9%E7%94%A8%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%E8%AE%A1%E7%AE%97)
1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算
1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算
1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算
1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100)………打开括号,里面变号
=1/2-1/2+1/3-1/3+1/4-………-1/99+1/100
=1/100