44: After the l'Hospital you should get
This indeterminate ratio is way better than the one before and l'Hospital would handle it, but it would have to be used twice. Since this is a textbook example of a ratio of polynomials, it will definitely be easier to identify leading powers and factor them out (see the box "polynomials and ratios with powers").
If you went for the ec-form, you should have done
Note that