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)
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Multiply top and bottom by its conjugate: :
The numerator is an application of the difference of squares formula:
divide every term by x ...
Another approach is to use asymptotic equivalences (but I don't know your level, so maybe you can't use it...)
Since , we have
Last edited by Moo; Sep 15th 2008 at 01:17 PM.
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