Find . Apply l’Hopital’s rule as many times as necessary, verifying your results after each application
First both the numerator and denominator go to infinity in the limit, so we can apply L'Hopital's rule.
Thus:
Again, both numerator and denominator go to infinity so:
Again, both numerator and denominator go to infinity so:
Finally, only the numerator goes to infinity and the denominator is a constant, so the net result is:
or more precisely, the limit is undefined.
-Dan