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Math Help - Limit problem (maybe L'Hopital's Rule)

  1. #1
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    Limit problem (maybe L'Hopital's Rule)

    \lim x \rightarrow \infty \sqrt[3]{x^3 - 9x^2} - x

    If it weren't for that -x at the end, I'd just use Ln and L'Hopital's Rule if I needed to, but that -x throws me off. Not really sure how to get started...
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  2. #2
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    \sqrt[3]{x^3 - 9x^2} - x = x\left( \sqrt[3]{1 - \frac{9}{x}} -1\right)

    At this point I would make the variable substitution t = \frac{1}{x} and use L'Hospital's Rule.
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