- #1
Bachelier
- 376
- 0
Is my understanding of the concept of ##\underset{n}{Sup} \ S_n## correct?
for instance, given the sequence:
##{S_n} = sin(\frac{n \pi}{2}). \frac{n+2}{2 n}##
Then
##\underset{1}{Sup} \ S_n \ = \ \frac{3}{2}##
##\underset{10}{Sup} \ S_n \ = 0##
##\underset{k≥n}{Sup} \ S_n \ = \ \frac{1}{2}##
I am trying to understand the part when we say ##\underset{n}{Sup} \ S_n##, what does it mean? Thanks
for instance, given the sequence:
##{S_n} = sin(\frac{n \pi}{2}). \frac{n+2}{2 n}##
Then
##\underset{1}{Sup} \ S_n \ = \ \frac{3}{2}##
##\underset{10}{Sup} \ S_n \ = 0##
##\underset{k≥n}{Sup} \ S_n \ = \ \frac{1}{2}##
I am trying to understand the part when we say ##\underset{n}{Sup} \ S_n##, what does it mean? Thanks