Alright, so I had a midterm today where I had to evaluate the following limit:
It looks eerily similar to the limit case yielding $e$ but I couldn't find a way to utilize that, so I took this approach:
Which simplified to this using log properties:
However, once I get here I get a bit stuck. Would using L'Hopital's via natural logarithmic differentiation of both the numerator and denominator be an advisable next step, or is this approach ultimately fruitless altogether?