EDB — 14N

Exercises

1. [14N]Prerequisites:[0T5]↺↻.Let \(f:ℝ→ℝ\) be a bounded function. Show that the set of discontinuity points of the second type is countable at most (i.e. the points \(z\) where the lateral limits exist but \(\lim _{x→ z+} f(x) ≠ \lim _{x→ z-} f(x)\), see [ 43 ] ).