Let \( P(x) \) be a polynomial of degree ' 6 ' with leading coeffic...

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Let \( P(x) \) be a polynomial of degree ' 6 ' with leading coefficient unity and \( p(-x)=p(x) \forall x \in R \). Also \( (P(1)+3)^{2}+P^{2}(2)+(P(3)-5)^{2}=0 \)
\( \mathrm{P} \)
The value of \( \lim _{x \rightarrow \infty} \frac{\left(x^{2}-\sqrt{\frac{P(x)}{x^{2}-4}}\right)}{x \tan \frac{1}{x}} \) is equal to:
(a) 10
(b) 5
(c) 3
(d) -4
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