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2020/11/08/quick-analysis-trick-3 #7

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utterances-bot commented 2 years ago

Limsups and Liminfs of Sets | Chris Grossack's Blog

Chris Grossack's math blog and professional website.

https://grossack.site/2020/11/08/quick-analysis-trick-3.html

cppsux commented 2 years ago

Sorry I'm a bit lost. Why is limsup x_n the smallest number such that infinitely many x_n are bigger? limsup of (-1)^n*(2-1/n) is 2 right? But no term is bigger than the actual limit. Am I being silly?