  The purpose of the paper is to give a pedagogical introduction to the
multiple time-scale technique, on the example of the high friction limit of the
Kramers equation. We begin with a discussion of the standard perturbation
technique as presented in van Kampen's reference book \refto{VK}, which will be
shown to fail in the long-time limit. Application of the multiple time-scale
technique avoids these difficulties and leads to a uniform expansion in powers
of the inverse of the friction. Analogy with the Chapman-Enskog expansion is
discussed.
