EDB — 0CV

Exercises

1. [0CV]Prerequisites:[0B9]↺↻,[0BQ]↺↻.(Solved on 2022-11-24) Let \(a_ n,b_ n\) real valued sequences, show that

   \[ \limsup _{n→∞} (a_ n+b_ n) ≤ (\limsup _{n→∞} a_ n) + (\limsup _{n→∞} b_ n)~ ~ ; \]

   find a case where inequality is strict.

   Solution 1

   [0CW]↺↻