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Consider the function \(f(x) = \dfrac{-3}{(x+2)^2}\).
  1. Evaluate the one-sided limits of \(f(x)\) as \(x\) approaches \(-2\):
    • \(\displaystyle\lim_{x \to -2^+} f(x)\)
    • \(\displaystyle\lim_{x \to -2^-} f(x)\)
  2. Evaluate the two-sided limit \(\displaystyle\lim_{x \to -2} f(x)\).
  3. Hence, state the equation of any vertical asymptotes of the graph of \(y=f(x)\).

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