  We revisit a bound on symbolic powers found by Ein-Lazarsfeld-Smith and
subsequently improved by Takagi-Yoshida. We show that the original argument of
Ein-Lazarsfeld-Smith actually gives the same improvement. On the other hand, we
show by examples that any further improvement based on the same technique
appears unlikely. This is primarily an exposition; only some examples and
remarks might be new.

Algebraic Geometry;Commutative Algebra