If you're given a sequence [itex]\{x_n\}[/itex], do you have(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\sup_n x_n = \lim_{n\to \infty} \left( \max\limits_{1 \leq k \leq n} x_k \right)

[/tex]

I've never seen this definition before, but it makes sense.

...and if it's NOT the same as the supremum...what *is* it?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Definition of supremum

**Physics Forums | Science Articles, Homework Help, Discussion**