How to evaluate without using LHospitals rule?
I thought the best way was to separate it in two limits:
Considering that we can easily know that the second limit is 4. I also know the result of the original limit is 4, so the result of the first limit in the second line needs to be 0 (0+4=4).
The issue is that I can not figure out how to remove the x from the denominator so I can avoid the indeterminate form. I already tried replacing with , but it seems to be useless.
So, to summarize everything, my problem is how to evaluate this limit without using LHospitals rule: