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 \( (P(1)+3)^{2}+P^{2}(2)+(P(3)-5)^{2}=0 \)
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The value of \( \lim _{x \rightarrow-2} \frac{\sin (P(x))}{(x-2) \tan (x+2)} \) is equal to :
(a) 26
(b) 16
(c) -14
(d) -40
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