Does Bounded Sequence Converges?
Since the Sequence Is Bounded Above, It Converges. It Is Also True That If a Sequence Is Decreasing (Or Eventually Decreasing) and Bounded Below, It Also...
Since the sequence is bounded above, it converges. It is also true that if a sequence is decreasing (or eventually decreasing) and bounded below, it also converges. an≤a)n+1 for all n≥n0.
Is every bounded sequence convergent sequence?
Every bounded sequence is NOT necessarily convergent.
Is every bounded sequence convergent yes or no?
No, there are many bounded sequences which are not convergent, for example take an enumeration of Q∩(0,1). But every bounded sequence contains a convergent subsequence.
Alexander Ross has covered the video game industry for a decade, writing deep dives on game design, esports tournaments, VR developments, and gaming culture.
