# Question #60c2b

$\frac{1}{n}$
$f \left(x\right) = n x + n - \left[\left[n x + n\right]\right] = n x - \left[\left[n x\right]\right]$
The period of $g \left(x\right) = x - \left[\left[x\right]\right]$ is $1$, so the period of $f \left(x\right) = g \left(n x\right)$ is $\frac{1}{n}$