Is there a sequence of continuous functions on $[a,b]$that converges pointwise to a continuous function $f$ which is not integrable?
By Lebesgues theorem, the limiting function $f$ shouldn’t have measure zero discontinuity.
Thanks for the help.
Is there a sequence of continuous functions on $[a,b]$that converges pointwise to a continuous function $f$ which is not integrable?
By Lebesgues theorem, the limiting function $f$ shouldn’t have measure zero discontinuity.
Thanks for the help.