(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!

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# Limsup and bounded above

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