Need help calculating limit
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'H˘pital:
Using de l'H˘pital 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