Do any VPS services or any service exist where I can mine CPU coins?
Most of them will instantly banned you when they will find it. Many vps states this in their faq but even those who don't have this stated in their faq page will banned you whenever they will find out that you are using so much of resources due to CPU mining.
are you sure? why they should ban me if i paid for that vps? it sound very stupid to me, a cpu can run at full speed without a problem and without crashing and this is not an issue if they said so
It has various reasons, but the main thing is that a lot cheap VPS's are making use of a "shared" CPU. It basically means that if you start CPU mining, that it will greatly affect the other user(s) you share your CPU with.
Other thing is that CPU mining is a very intensive practice. Servers sitting in racks don't have any space to install a proper CPU fan, and thus it will significantly lower the life time of the CPU. There are most likely more reasons, but these are the most important.