However, being in the first part of an analysis course, the notion of a limit is not yet defined so this is probably not allowed.
Define in R^m, and . I need to show that for every m and p there are scalars c and C such that, for every x in R^m, .
My only thought is to try to find the limit of as each coordinate goes to infinity. If it converges the I think I'm done, no? But I don't see how to do it.