设X1=10,Xn+1=(6+Xn)^(1/2),n=1,2,...证明数列{Xn}极限存在重点讲下这数列单调性和有界的放缩,不要数归,在线等!还有如果改为X1=a^(1/2),Xn=(a+Xn-1)^(1/2),(a>0),证明极限存
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 15:32:36
![设X1=10,Xn+1=(6+Xn)^(1/2),n=1,2,...证明数列{Xn}极限存在重点讲下这数列单调性和有界的放缩,不要数归,在线等!还有如果改为X1=a^(1/2),Xn=(a+Xn-1)^(1/2),(a>0),证明极限存](/uploads/image/z/817141-13-1.jpg?t=%E8%AE%BEX1%3D10%2CXn%2B1%3D%EF%BC%886%2BXn%EF%BC%89%5E%EF%BC%881%EF%BC%8F2%EF%BC%89%2Cn%3D1%2C2%2C...%E8%AF%81%E6%98%8E%E6%95%B0%E5%88%97%7BXn%7D%E6%9E%81%E9%99%90%E5%AD%98%E5%9C%A8%E9%87%8D%E7%82%B9%E8%AE%B2%E4%B8%8B%E8%BF%99%E6%95%B0%E5%88%97%E5%8D%95%E8%B0%83%E6%80%A7%E5%92%8C%E6%9C%89%E7%95%8C%E7%9A%84%E6%94%BE%E7%BC%A9%EF%BC%8C%E4%B8%8D%E8%A6%81%E6%95%B0%E5%BD%92%EF%BC%8C%E5%9C%A8%E7%BA%BF%E7%AD%89%EF%BC%81%E8%BF%98%E6%9C%89%E5%A6%82%E6%9E%9C%E6%94%B9%E4%B8%BAX1%3Da%5E%EF%BC%881%EF%BC%8F2%EF%BC%89%EF%BC%8CXn%3D%EF%BC%88a%2BXn-1%EF%BC%89%5E%EF%BC%881%EF%BC%8F2%EF%BC%89%EF%BC%8C%EF%BC%88a%EF%BC%9E0%EF%BC%89%EF%BC%8C%E8%AF%81%E6%98%8E%E6%9E%81%E9%99%90%E5%AD%98)
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