[0CS] Let \(e_ n,d_ n\) be two real sequences such that \(d_ n≤ e_ n\) for each \(n\), and suppose that \(\limsup _ n e_ n=\liminf _ n d_ n=b\) (possibly infinite): then show that \(\lim _ n e_ n=\lim _ n d_ n=b\).
[0CT]↺↻