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December 31st, 2011, 01:04 AM | #1 |
Member Joined: Dec 2011 Posts: 61 Thanks: 1 | do this with limit
Let (I) (II) (III) Show that |
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December 31st, 2011, 02:37 AM | #2 |
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs | Re: do this with limit
I'm not sure what limits have to do with this, but here is my take on it: From condition III, we must have: From condition II, we then find: This satisfies condition I, and we find: ' |
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December 31st, 2011, 06:02 AM | #3 |
Member Joined: Dec 2011 Posts: 61 Thanks: 1 | Re: do this with limit
oh ur solution is pretty cool, but give some comments with this one: |
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December 31st, 2011, 11:11 AM | #4 |
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs | Re: do this with limit
After having some sleep, I feel kind of thick now! Of course, where derivatives are concerned there are limits. I like your solution, especially the use of L'Hôpital's rule. |
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