If I want to know wither =0 can i say that if for some value of

we have that

then it is not the case that

=0 as

Im struggling to come up with a counter example or anything for this.

thanks for any help

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- Oct 22nd 2011, 01:36 PM #1

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- Oct 23rd 2011, 10:35 PM #2
## Re: Lim Sup question

The question is not very clear. However, there is one problem in the third line: is exactly , because you're chosing as one function from the sequence . This doesn't make sense. On the other hand, If you can find a sub-sequence of functions with limit greater than zero, then you know that your is not zero. If that's what you mean by then your statement is correct.