Y by Mango247
For every positive integer
prove the inquality

(The integer part
of the number
is the largest integer not exceeding
. The fractional part of the number
is a number
such that
.)
A. Golovanov


(The integer part
![$[x]$](http://latex.artofproblemsolving.com/b/c/e/bceb7b14e55d33a8bca29b7863ad3cdae95afce4.png)




![$[x]+\{x\}=x$](http://latex.artofproblemsolving.com/0/3/a/03ae0917760023ab705aee0ca548af5adc9ba945.png)
A. Golovanov
This post has been edited 6 times. Last edited by Hopeooooo, Jul 25, 2024, 5:09 PM
Reason: 1
Reason: 1