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Consider the function \(f(x) = x^2 - x\). We want to determine its limit as \(x \to +\infty\).
  1. Justify that direct application of the Sum Law leads to an indeterminate form.
  2. Show that for \(x \neq 0\), \(x^2 - x = x^2 \left(1 - \frac{1}{x}\right)\).
  3. Use this factored form and the limit laws to conclude about \(\displaystyle\lim_{x \to +\infty} (x^2 - x)\).

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