I have a problem with these sequences:
The first one - I don't know how to get rid of the ln(something) function or maybe I'm just doing it in a wrong way. The second one - everything would be great if there wasn't this which I don't know what to do with. The third one - I don't have any idea about this one... I would appreciate your hints or solutions. I've been trying to solve them for so long but I constantly get wrong answers (I used wolfram alpha).
Hello
1. Using l'Hôpital:
You can apply l'Hôpital few more times, but you know that:
2. Making this change of variable:
You can continue, just applies L'hopital (because is , before that it was ) many times.... The answer is
I can't write you the full solution because I don't know how to use well....
Greetings
Yes, I'm agree with you. I discovered recently , and I try to practice every day because is very useful.
But I mean that is difficult to learn, especially on this page. When I post it's too annoying see the equations combined with the HTML code. I can't see the HTML when I'm editing my code, I don't know why. In other pages I use an editor (in my case use TextMaker) and I only had to copy-paste. But here I have to write everything on one line, and it seems that LaTeX doesn't work well here, sometimes there are mistakes, I have to write "{}" all the time. I don't know if I'm the only one with this problems.
Thank you very much, guys. I am wondering whether I am allowed to apply the de L'Hospital rule because we have a sequence, not a function here. I think I need to proof that let's say and are differentiable. Is there anyone who's studying math?