Does L'Hospital's Rule still apply if the numerator and denominator go to infinity in different directions (i.e. positive infinity over negative infinity)?
Does L'Hospital's Rule still apply if the numerator and denominator go to infinity in different directions (i.e. positive infinity over negative infinity)?
That is exacly the same as . In general, if one factor goes to " ", you can factor out a "-1" and turn the limit into . In other words, it doesn't matter whether the limit is or .