For lim as x -> -∞, how come lxl becomes -x?

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For lim as x --> -∞, how come lxl becomes -x?

Homework Statement



When you take the limit of a rational function as x approaches (-∞), I am dividing the numerator and denominator by the x value with highest exponent. Supposing the highest x value is √(x^2), so I divide the numerator and denominator by lxl. Then how come, in cases of x--> -∞, I am supposed to replace lxl with -x?

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Nevermind, it clicked literally 15 seconds after posting the question. No help needed on this particular question anymore :)