Lets assume you want the limit as x goes to zero. Well you could try either expanding the numerator as a power series about zero, or apply L'Hopital's rule (three times I think should do it).
Jun 23rd 2008, 11:06 PM
Ok, thats similar to what i was attempting but each time i would get stuck rather quickly
Jun 24th 2008, 12:50 AM
Yeah, the limit gives 0/0 but this is undefined. So, the limit is what's of consequence not the actual function value. That means that it's not really determinant that they go to the same limit. It's the rate at which they converge to this limit respectively that makes a difference. This is exactly what L'Hospitals rule is for. Thieving jerk (L'Hospital, not any of you.)
Jun 24th 2008, 01:20 AM
Originally Posted by wkrepelin
This is exactly what L'Hospitals rule is for. Thieving jerk (L'Hospital, not any of you.)