I know the answer to this problem, but I do not know how to get to it. lim (sqrt(9x^2+x)-3x) = (1/6) x-> infinity
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Multiply top and bottom by its conjugate: : The numerator is an application of the difference of squares formula: So: etc. etc.
divide every term by x ... now let
Hello, Another approach is to use asymptotic equivalences (but I don't know your level, so maybe you can't use it...) Since , we have So
Last edited by Moo; September 15th 2008 at 01:17 PM. Reason: ...
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