\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Verify by limit that \(1\) is a pole of order \(2\) of \(R = \dfrac{X^2 + X + 1}{(X - 1)^2 (X + 3)}\), by computing \(\lim_{X \to 1} (X - 1)^2 R(X)\).
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