Hi. I need to find the limit as m goes to infinity of this function:

. It might be sort of hard to read but it's that whole fraction raised to the m power.

My teacher first suggested trying to compute the limit as m goes to infinity of

. I still wasn't exactly sure even how to do that, but tried using L'Hospital and changed it to the limit as m goes to infinity of

, which honestly made me even more confused.

THEN, she said to use the fact that

and set

. All in all, I just feel like I'm getting even more jumbled up!

The book says that the limit for the original equation (up at the top) should be

. Can anyone help me out?