麻烦告诉下这题目怎么解(1-1/2+1/3-1/4.+1/1997-1/1998+1/1999)/[1/(1+1999)+1/(2+2000)+1/(3+2001).+1/(999+2997)+1/(1000+2998)]麻烦高手告诉下计算过程 第一次来这里求助
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![麻烦告诉下这题目怎么解(1-1/2+1/3-1/4.+1/1997-1/1998+1/1999)/[1/(1+1999)+1/(2+2000)+1/(3+2001).+1/(999+2997)+1/(1000+2998)]麻烦高手告诉下计算过程 第一次来这里求助](/uploads/image/z/10195261-61-1.jpg?t=%E9%BA%BB%E7%83%A6%E5%91%8A%E8%AF%89%E4%B8%8B%E8%BF%99%E9%A2%98%E7%9B%AE%E6%80%8E%E4%B9%88%E8%A7%A3%281-1%2F2%2B1%2F3-1%2F4.%2B1%2F1997-1%2F1998%2B1%2F1999%29%2F%EF%BC%BB1%2F%281%2B1999%29%2B1%2F%282%2B2000%29%2B1%2F%283%2B2001%29.%2B1%2F%28999%2B2997%29%2B1%2F%281000%2B2998%29%EF%BC%BD%E9%BA%BB%E7%83%A6%E9%AB%98%E6%89%8B%E5%91%8A%E8%AF%89%E4%B8%8B%E8%AE%A1%E7%AE%97%E8%BF%87%E7%A8%8B+%E7%AC%AC%E4%B8%80%E6%AC%A1%E6%9D%A5%E8%BF%99%E9%87%8C%E6%B1%82%E5%8A%A9)
麻烦告诉下这题目怎么解(1-1/2+1/3-1/4.+1/1997-1/1998+1/1999)/[1/(1+1999)+1/(2+2000)+1/(3+2001).+1/(999+2997)+1/(1000+2998)]麻烦高手告诉下计算过程 第一次来这里求助
麻烦告诉下这题目怎么解
(1-1/2+1/3-1/4.+1/1997-1/1998+1/1999)/[1/(1+1999)+1/(2+2000)+1/(3+2001).+1/(999+2997)+1/(1000+2998)]麻烦高手告诉下计算过程 第一次来这里求助
麻烦告诉下这题目怎么解(1-1/2+1/3-1/4.+1/1997-1/1998+1/1999)/[1/(1+1999)+1/(2+2000)+1/(3+2001).+1/(999+2997)+1/(1000+2998)]麻烦高手告诉下计算过程 第一次来这里求助
(1-1/2+1/3-1/4+…+1/1997-1/1998+1/1999)
/[1/(1+1999)+1/(2+2000)+1/(3+2001)+1/(4+2002)+…+1/(999+2997)+1/(1000+2998)]
=[(1+1/2+1/3+1/4+…+1/1998+1/1999)-(1/2+1/4+1/6+…+1/1996+1/1998)×2]
/[1/2000+1/2002+1/2004+1/2006+…+1/2996+1/2998]
=[(1+1/2+1/3+1/4+…+1/1998+1/1999)-(1+1/2+1/3+…+1/998+1/999)] /[1/(2×1000)+1/(2×1001)+1/(2×1002)+…+1/(2×1998)+1/(2×1999)]
=(1/1000+1/1001+…+1/1998+1/1999) /[(1/1000+1/1001+…+1/1998+1/1999)×1/2]
=2