defined by these values, i.e. those members of the
-series which are earlier than or identical with some of these values. Form all such sections for all
's that precede
, and take their common part; this will be the ultimate section. The ultimate upper section and the ultimate oscillation are then defined exactly as in the previous case.
The adaptation of the definition of convergence and the resulting alternative definition of continuity offers no difficulty of any kind.
We say that a function