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March 1st, 2010, 04:58 PM   #1
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Limit at infinity

Hi everyone. First post here. I am having a bit of trouble in my Real Class. I am going back to school and it has been a while. I am studying Limits. I have a problem that I just can't seem to get. I know there has to be a simple trick to get this to be obvious, but that escapes me at this point.

Let f: (0,inf)--> R be such that Lim (x-->inf) x*f(x) = L, prove that Lim (x-->inf) g(x) = 0.

any suggestions would be greatly appreciated.

Thanks,

David
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March 1st, 2010, 07:54 PM   #2
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Re: Limit at infinity

what is g?
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