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Let \(f\) be the function defined on \((1, +\infty)\) by \(f(x) = \ln(x^2 - 1)\).
  1. Evaluate \(\displaystyle\lim_{x \to 1^+} f(x)\). What can you conclude about the graph of \(f\)?
  2. Evaluate \(\displaystyle\lim_{x \to +\infty} f(x)\).

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