已知正实数xi:x1*x2*x3*x4*...*xn=1.求证:[1/(n-1+x1)]+[1/(n-1+x2)]+...+[1/(n-1+xn)]=
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![已知正实数xi:x1*x2*x3*x4*...*xn=1.求证:[1/(n-1+x1)]+[1/(n-1+x2)]+...+[1/(n-1+xn)]=](/uploads/image/z/2625130-10-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%AD%A3%E5%AE%9E%E6%95%B0xi%EF%BC%9Ax1%2Ax2%2Ax3%2Ax4%2A...%2Axn%3D1.%E6%B1%82%E8%AF%81%EF%BC%9A%5B1%2F%28n-1%2Bx1%29%5D%2B%5B1%2F%28n-1%2Bx2%29%5D%2B...%2B%5B1%2F%28n-1%2Bxn%29%5D%3D)
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