Let {bk} be a real sequence and b R. a) Suppose that there are M, N N

Let {bk} be a real sequence and b ˆˆ R.
a) Suppose that there are M, N ˆˆ N such that |b - bk| N. Prove that

for all n > N.
b) Prove that if bk †’ b as k †’ ˆž, then

as n †’ ˆž.
c) Show that the converse of b) is false.

Transcribed Image Text:

EDs b - b| + M(n – N) nb- Vi