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February 12th, 2017, 06:06 AM   #1
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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?
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February 12th, 2017, 02:28 PM   #2
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Looks fine.
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February 26th, 2017, 03:15 PM   #3
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Quote:
Originally Posted by Abubakar Shafii View Post
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).
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February 26th, 2017, 05:34 PM   #4
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Doesn't bode well for his site.

$\sin{(n)}$ is a more complicated example.
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