Mathematics - Functions Question with Solution | TestHub

The graph of $\mathrm{y}=\mathrm{x}-[\mathrm{x}]$ is as shown below

When x is an integer, $\mathrm{x}-[\mathrm{x}]=0$

Hence, $\mathrm{f}(\mathrm{x})=0$ when x is an integer

$\mathrm{x}\to [\mathrm{x}]$ as x tends to an integer.