1/3+1/15+1/35+...+1/9999的简便运算1/2x【(1-1/3)+(1/3-1/5)+(1/5-1/7)+...+(1/99-1/101)】这一步的1/2怎么来的
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![1/3+1/15+1/35+...+1/9999的简便运算1/2x【(1-1/3)+(1/3-1/5)+(1/5-1/7)+...+(1/99-1/101)】这一步的1/2怎么来的](/uploads/image/z/69786-18-6.jpg?t=1%2F3%2B1%2F15%2B1%2F35%2B...%2B1%2F9999%E7%9A%84%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%971%2F2x%E3%80%90%EF%BC%881-1%2F3%EF%BC%89%2B%281%2F3-1%2F5%29%2B%281%2F5-1%2F7%29%2B...%2B%281%2F99-1%2F101%29%E3%80%91%E8%BF%99%E4%B8%80%E6%AD%A5%E7%9A%841%2F2%E6%80%8E%E4%B9%88%E6%9D%A5%E7%9A%84)
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