Commit 2021-02-08 14:15 8a23aa3b
View on Github →feat(topology/instances/{nnreal,ennreal}): add tendsto_cofinite_zero_of_summable (#6093)
For f : a -> nnreal
, summable f
implies tendsto f cofinite (nhds 0)
.
For f : a -> ennreal
, tsum f < \top
implies tendsto f cofinite (nhds 0)
.
Add versions of these lemmas with at_top
instead of cofinite
when a = N
.
Also add ennreal.tendsto_at_top_zero
, a simpler statement for a particular case of ennreal.tendsto_at_top
.