Hi everyone,

I found this limit in a research paper, and I'm simply not able to get to the same result.

I hope some of you can help me a little bit.

Hypothesis from the paper:

My idea so far, was to take the logarithm of the problem, and then use some de l'Hôpital:

Using de l'Hôpital on the second term yields:

As you can see, the first term is divergent, which should mean that the limit doesn't exist.

What do you think ?

Is the paper wrong? Am I wrong ?

Thanks a lot in advance

El Botas