The value of \( \lim _{x \rightarrow 1} \frac{\left(x^{2}-1\right) \sin ^{2}(\pi x)}{x^{4}-2 x^{...

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The value of \( \lim _{x \rightarrow 1} \frac{\left(x^{2}-1\right) \sin ^{2}(\pi x)}{x^{4}-2 x^{3}+2 x-1} \) is equal to
(a) \( \frac{\pi^{2}}{6} \)
(b) \( \frac{\pi^{2}}{3} \)
(c) \( \frac{\pi^{2}}{2} \)
(d) \( \pi^{2} \)
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