If \( \lim _{x \rightarrow \infty} \frac{x^{2}+3 x+5}{4 x+1+x^{k}} \) exists, then all possible ...

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If \( \lim _{x \rightarrow \infty} \frac{x^{2}+3 x+5}{4 x+1+x^{k}} \) exists, then all possible values of \( k \) are
(A) \( k=2 \)
(B) \( k2 \)
(C) \( k2 \)
(D) \( k \geq 2 \)
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