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