Hello,
I am trying to find the limit of this sequence:
but I cannot factorize the fraction at all.
Any idea is very much appreciated!
Thank you all!
Hello,
no it is the very first time I see this theorem, I will check it out tomorrow (02:00 at midnight now) and come back with a full solution!
Very kind of you!
Thank you very much!
The proof... that's a good one, cool! Now it can be solved..
the initial formula of the general term could be written like this:
and the limit like this:
if we apply the theorem for the numerator we have:
and for the denominator it goes like this:
Finally having found those two limits we can write:
and all these supposing that and this means that if it will go the other way around, the limit will be
Thank you once again, for your valuable help!