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Consider the function \(f(x) = \dfrac{x^2}{1+x}\). We want to determine its limit as \(x \to +\infty\).
  1. Justify that direct application of the Quotient Law leads to an indeterminate form.
  2. Show that for \(x > 0\), \(\dfrac{x^2}{1+x} = \dfrac{x}{\frac{1}{x} + 1}\).
  3. Conclude about the value of \(\displaystyle\lim_{x \to +\infty} \dfrac{x^2}{1+x}\).

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