计算:1 1 1 1 1 ——+ ——+——+.+————+———— 1x2 2x3 3x4 99x100 100x101sorry,上面打错了应该是:/是分数线。1x2/1+2x3/1+3x4/1+.............+99x100/1+100x101/1=?
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![计算:1 1 1 1 1 ——+ ——+——+.+————+———— 1x2 2x3 3x4 99x100 100x101sorry,上面打错了应该是:/是分数线。1x2/1+2x3/1+3x4/1+.............+99x100/1+100x101/1=?](/uploads/image/z/1674893-29-3.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A1+1+1+1+1+%E2%80%94%E2%80%94%2B+%E2%80%94%E2%80%94%2B%E2%80%94%E2%80%94%2B.%2B%E2%80%94%E2%80%94%E2%80%94%E2%80%94%2B%E2%80%94%E2%80%94%E2%80%94%E2%80%94+1x2+2x3+3x4+99x100+100x101sorry%EF%BC%8C%E4%B8%8A%E9%9D%A2%E6%89%93%E9%94%99%E4%BA%86%E5%BA%94%E8%AF%A5%E6%98%AF%EF%BC%9A%2F%E6%98%AF%E5%88%86%E6%95%B0%E7%BA%BF%E3%80%821x2%2F1%2B2x3%2F1%2B3x4%2F1%2B.............%2B99x100%2F1%2B100x101%2F1%3D%3F)
计算:1 1 1 1 1 ——+ ——+——+.+————+———— 1x2 2x3 3x4 99x100 100x101sorry,上面打错了应该是:/是分数线。1x2/1+2x3/1+3x4/1+.............+99x100/1+100x101/1=?
计算:1 1 1 1 1 ——+ ——+——+.+————+———— 1x2 2x3 3x4 99x100 100x101
sorry,上面打错了应该是:
/是分数线。1x2/1+2x3/1+3x4/1+.............+99x100/1+100x101/1=?
计算:1 1 1 1 1 ——+ ——+——+.+————+———— 1x2 2x3 3x4 99x100 100x101sorry,上面打错了应该是:/是分数线。1x2/1+2x3/1+3x4/1+.............+99x100/1+100x101/1=?
=1-1/2+1/2-1/3+1/3-1/4+……+1/100-1/101
=1-1/101
=101分之100
原式=1-1/2+1/2-1/3+1/3-1/4+......+1/99-1/100+1/100-1/101=100/101