计算:4/ (x+1)(x+3)+4/(x+3)(x+5)+…..+4/(x+2n-1)(x+2n+1)的值?能不能说详细一点哟——fish俊
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![计算:4/ (x+1)(x+3)+4/(x+3)(x+5)+…..+4/(x+2n-1)(x+2n+1)的值?能不能说详细一点哟——fish俊](/uploads/image/z/14297656-40-6.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A4%2F+%28x%2B1%29%28x%2B3%29%2B4%2F%28x%2B3%29%28x%2B5%29%2B%E2%80%A6..%2B4%2F%28x%2B2n-1%29%28x%2B2n%2B1%29%E7%9A%84%E5%80%BC%3F%E8%83%BD%E4%B8%8D%E8%83%BD%E8%AF%B4%E8%AF%A6%E7%BB%86%E4%B8%80%E7%82%B9%E5%93%9F%E2%80%94%E2%80%94fish%E4%BF%8A)
计算:4/ (x+1)(x+3)+4/(x+3)(x+5)+…..+4/(x+2n-1)(x+2n+1)的值?能不能说详细一点哟——fish俊
计算:4/ (x+1)(x+3)+4/(x+3)(x+5)+…..+4/(x+2n-1)(x+2n+1)的值?
能不能说详细一点哟——fish俊
计算:4/ (x+1)(x+3)+4/(x+3)(x+5)+…..+4/(x+2n-1)(x+2n+1)的值?能不能说详细一点哟——fish俊
4/ (x+1)(x+3)=2/(x+1) -2/(x+3)
4/ (x+1)(x+3)+4/(x+3)(x+5)+…..+4/(x+2n-1)(x+2n+1)
=2/(x+1) -2/(x+2n+1)
=2{[1/(x-1)-1/(x-3)]+[1/(x-3)-1/(x-5)]+……+[1/(x+2n-1)-1/(x+2n+1)]}
=2[1/(x-1)-1/(x+2n+1)]
=4(n-1)/[(x-1)(x+2n+1)]
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