Yes. I think I may know how to solve it then. -- Wait, but LHopitals rule is for finding the limit, not proving it?
Surely if you find that the limit is equal to zero by using a valid theorem like l'Hopital's Rule, then you have proved that the limit is equal to zero! But context might be important ..... Where has the question come from?
It arose indirectly from me solving an integral of the form $\displaystyle \int_0^\infty xe^{-x} $ where I had to evaluate the limit of a similar expression, and was curious if I could prove it using a method like e-d proofs.
It arose indirectly from me solving an integral of the form $\displaystyle \int_0^\infty xe^{-x} $ where I had to evaluate the limit of a similar expression, and was curious if I could prove it using a method like e-d proofs.
In that case, why use a cannon when a flyswatter will do?