does the limit of the sequence exist?

[mathmari]

Hey! I am looking at an exercise in Analysis and i got stuck... When we have the sequence \(\displaystyle a_{n}=kn-[mn] \), where\(\displaystyle k\) and \(\displaystyle m\) \(\displaystyle \epsilon R \). How could we show that the limit \(\displaystyle a_{n} \) exist? We have to show that the sequence is monotone and bounded,right? How can I show that it is bounded