My Math Forum Limsup and Liminf question

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 February 12th, 2017, 06:06 AM #1 Member   Joined: Jan 2016 From: Blackpool Posts: 76 Thanks: 2 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: 6,398 Thanks: 546 Looks fine. Thanks from Jaket1
February 26th, 2017, 03:15 PM   #3
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 Originally Posted by Abubakar Shafii No I think it wount because it is not defined within the set of bounded interval.. And besides the set is not a finite set but rather a countable set.. But you can access my blog for similar problems... Www.mymathware.blogspot.com
It is defined in a bounded interval (.9,3.1).

 February 26th, 2017, 05:34 PM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,091 Thanks: 2360 Math Focus: Mainly analysis and algebra Doesn't bode well for his site. $\sin{(n)}$ is a more complicated example.

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