is pointwisely convergent and find a limit function.
then assess if is uniformly convergent for
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Hint for the pointwise limit: deal with the cases , , .
Originally Posted by girdav Hint for the pointwise limit: deal with the cases , , . so in case of there is no limit. when limit is equal to
So it isnt uniformly convergent when , but it may be when , yes?
Yes, and that's what you have to determine.
, when and
So in that interval the function sequence is uniformly convergent. Is that ok and enough writing for an exam?
Last edited by fqqs; May 26th 2012 at 12:33 PM.
Maybe you could justify that , for example using an upper bound.
Originally Posted by girdav Maybe you could justify that , for example using an upper bound. could you explain?
I just meant that in order to justify uniform convergence (just saying it is not enough).
Maybe Im stupid but I just cant see why it is so...
For and integer .
aaa of course! thank you very much
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