I get the definition of limit superior and limit inferior, but I can't start a proof for these properties:
Hope you may enlight me.
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Did you try to use the properties of and ?
Oh, not really.
How would you prove the third one? Can you show me?
Use for the first inequality. For the second, you have to show that . But .
So for the first one I use by taking limits I get the result. Is it correct?
The second one follows easily from right?
You have to tell where you take the . The definition is .
Oh well, so I need to add that to what I wrote.
But by adding this, is it correct? If not, how to do it?
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