Is my understanding of the concept of ##\underset{n}{Sup} \ S_n## correct?(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Sup of a sequence

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