0.999…(循环9)是否等于一?我同学这样证明的:因为0.999…= 0.333…*3又0.333…=1/3所以0.999…=0.333…*3=1/3*3=1 .但这似乎不可能呀.我想是不是“0.999…=0.333…*3”出了问题
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/02 16:04:29
![0.999…(循环9)是否等于一?我同学这样证明的:因为0.999…= 0.333…*3又0.333…=1/3所以0.999…=0.333…*3=1/3*3=1 .但这似乎不可能呀.我想是不是“0.999…=0.333…*3”出了问题](/uploads/image/z/595471-31-1.jpg?t=0.999%E2%80%A6%EF%BC%88%E5%BE%AA%E7%8E%AF9%EF%BC%89%E6%98%AF%E5%90%A6%E7%AD%89%E4%BA%8E%E4%B8%80%3F%E6%88%91%E5%90%8C%E5%AD%A6%E8%BF%99%E6%A0%B7%E8%AF%81%E6%98%8E%E7%9A%84%EF%BC%9A%E5%9B%A0%E4%B8%BA0.999%E2%80%A6%3D+0.333%E2%80%A6%2A3%E5%8F%880.333%E2%80%A6%3D1%2F3%E6%89%80%E4%BB%A50.999%E2%80%A6%3D0.333%E2%80%A6%2A3%3D1%2F3%2A3%3D1+.%E4%BD%86%E8%BF%99%E4%BC%BC%E4%B9%8E%E4%B8%8D%E5%8F%AF%E8%83%BD%E5%91%80.%E6%88%91%E6%83%B3%E6%98%AF%E4%B8%8D%E6%98%AF%E2%80%9C0.999%E2%80%A6%3D0.333%E2%80%A6%2A3%E2%80%9D%E5%87%BA%E4%BA%86%E9%97%AE%E9%A2%98)
xRnA~Ltf7[lPkGFc2
֠IiK
1}+^gR!hz3g7sƈ4'NhK89^Xs_6 lX97#57XL4MCb~vĥX=@:lQf>|WuHN){ۧq3T3㿫N"D:l.Vb}@n}qp-/GLI#wU8PSony
z«
;>r"dl
q(_U&N7z