I've some trouble understanding how to work with the natural logarithm when trying to calculate a limit. I just can't seem to fit what I know together:

- I know that if , then , because , as . is a negative, so is , so their quotient is a positive.

- I know the given standard limits: (following from the above: ) and

But, I just can't seem to fit it together when I'm asked to solve an exercise like this:

How does this all fit together so I actually get to x? I need this explained in baby steps, it just won't ring a bell at the moment