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February 12th, 2017, 06:06 AM  #1 
Member Joined: Jan 2016 From: Blackpool Posts: 40 Thanks: 0  Limsup and Liminf question
Give an example of a bounded sequence so that: Limsup=liminf+2 Hi guys my sequence for this question would be 1,3,1,3,1,3...... would this work since the limitpoint set is (1,3) so the Limsup=3 Liminf=1 would this work? Thanks! 
February 12th, 2017, 02:28 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,234 Thanks: 496 
Looks fine.

February 26th, 2017, 03:15 PM  #3  
Global Moderator Joined: May 2007 Posts: 6,234 Thanks: 496  Quote:
 
February 26th, 2017, 05:34 PM  #4 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,778 Thanks: 2195 Math Focus: Mainly analysis and algebra 
Doesn't bode well for his site. $\sin{(n)}$ is a more complicated example. 

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