证明这个数列是递减的并且收敛于a^(1/2),急!~~~~~~这个数列是:x_0=a>0, x_(k+1)=(1/2)(x_k+a/x_k),证明这个数列是递减的并且收敛于a^(1/2)
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![证明这个数列是递减的并且收敛于a^(1/2),急!~~~~~~这个数列是:x_0=a>0, x_(k+1)=(1/2)(x_k+a/x_k),证明这个数列是递减的并且收敛于a^(1/2)](/uploads/image/z/2818015-7-5.jpg?t=%E8%AF%81%E6%98%8E%E8%BF%99%E4%B8%AA%E6%95%B0%E5%88%97%E6%98%AF%E9%80%92%E5%87%8F%E7%9A%84%E5%B9%B6%E4%B8%94%E6%94%B6%E6%95%9B%E4%BA%8Ea%5E%281%2F2%29%2C%E6%80%A5%21%EF%BD%9E%EF%BD%9E%EF%BD%9E%EF%BD%9E%EF%BD%9E%EF%BD%9E%E8%BF%99%E4%B8%AA%E6%95%B0%E5%88%97%E6%98%AF%EF%BC%9Ax_0%3Da%3E0%2C+x_%28k%2B1%29%3D%281%2F2%29%28x_k%2Ba%2Fx_k%29%2C%E8%AF%81%E6%98%8E%E8%BF%99%E4%B8%AA%E6%95%B0%E5%88%97%E6%98%AF%E9%80%92%E5%87%8F%E7%9A%84%E5%B9%B6%E4%B8%94%E6%94%B6%E6%95%9B%E4%BA%8Ea%5E%281%2F2%29)
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