求(-1+1/100)×(-1+1/101)×(-1+1/102)×……×(-1+1/200)的值
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![求(-1+1/100)×(-1+1/101)×(-1+1/102)×……×(-1+1/200)的值](/uploads/image/z/1807399-55-9.jpg?t=%E6%B1%82%EF%BC%88-1%2B1%2F100%EF%BC%89%C3%97%EF%BC%88-1%2B1%2F101%EF%BC%89%C3%97%EF%BC%88-1%2B1%2F102%EF%BC%89%C3%97%E2%80%A6%E2%80%A6%C3%97%EF%BC%88-1%2B1%2F200%EF%BC%89%E7%9A%84%E5%80%BC)
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求(-1+1/100)×(-1+1/101)×(-1+1/102)×……×(-1+1/200)的值
求(-1+1/100)×(-1+1/101)×(-1+1/102)×……×(-1+1/200)的值
求(-1+1/100)×(-1+1/101)×(-1+1/102)×……×(-1+1/200)的值
(-1+1/100)×(-1+1/101)×(-1+1/102)×……×(-1+1/200)
=(-99/100)×(-100/101)×(-101/102)×.×(-199/200)
(因为100到200的数字有奇数个,所以是负数)
= -(99/100)×(100/101)×(101/102)×.×(199/200)
(前一位分母与后一位分子相同舍去)
=-99/200
你好。 原式=(-99/100)×(-100/101)×(-101/102)×......×(-199/200)
= -99/200