n是任意正整数,α是实数,求证:[α]+[α+1/n]+.+[α+(n-1)/n]=[nα]("[ ]"为取整符号,如[3.5]=3,[-3.5]=-4等).一楼没看懂吧,[nα]≠n[α],所以不能按你的方法做。
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/13 03:10:59
![n是任意正整数,α是实数,求证:[α]+[α+1/n]+.+[α+(n-1)/n]=[nα](](/uploads/image/z/12546505-1-5.jpg?t=n%E6%98%AF%E4%BB%BB%E6%84%8F%E6%AD%A3%E6%95%B4%E6%95%B0%2C%CE%B1%E6%98%AF%E5%AE%9E%E6%95%B0%2C%E6%B1%82%E8%AF%81%EF%BC%9A%5B%CE%B1%5D%2B%5B%CE%B1%2B1%2Fn%5D%2B.%2B%5B%CE%B1%2B%28n-1%29%2Fn%5D%3D%5Bn%CE%B1%5D%28%22%5B+%5D%22%E4%B8%BA%E5%8F%96%E6%95%B4%E7%AC%A6%E5%8F%B7%2C%E5%A6%82%5B3.5%5D%3D3%2C%5B-3.5%5D%3D-4%E7%AD%89%29.%E4%B8%80%E6%A5%BC%E6%B2%A1%E7%9C%8B%E6%87%82%E5%90%A7%EF%BC%8C%5Bn%CE%B1%5D%E2%89%A0n%5B%CE%B1%5D%EF%BC%8C%E6%89%80%E4%BB%A5%E4%B8%8D%E8%83%BD%E6%8C%89%E4%BD%A0%E7%9A%84%E6%96%B9%E6%B3%95%E5%81%9A%E3%80%82)
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