Prove that as .
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Originally Posted by Boysilver Prove that as . Using the definition of limit ?. Fernando Revilla
Last edited by FernandoRevilla; Jan 9th 2011 at 02:15 AM.
I'm guessing that you want to show this using L'Hopital's rule? Let Take the of both sides. . Now see if you can finish it with L'Hopital's Rule.
Originally Posted by Boysilver Prove that as . I have a 'handwaving' solution. Let (approx.) (approx.) (approx.) Therefore, as PS: This may not fetch you any marks in an exam but it will help you to 'think in limits'.
Originally Posted by Boysilver Prove that as . So, we are trying to ascertain . Let so that our limit becomes and thus to assume our limit existed would be to assume that existed. More formally, where means "asymptotically dominates"