(adsbygoogle = window.adsbygoogle || []).push({}); Claim (?):

limsup x_{k}< ∞

k->∞

IF AND ONLY IF

the sequence {x_{k}} is bounded above.

Does anyone know if this is true or not? (note that the claim is "if and only if")

If it is true, why?

Thanks!

**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!

# Limsup and bounded above

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