\( \lim _{x \rightarrow \infty} \frac{(a x+1)^{n}}{x^{n}+A} \) is equal to \( \mathrm{P} \) (A) ...

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\( \lim _{x \rightarrow \infty} \frac{(a x+1)^{n}}{x^{n}+A} \) is equal to
\( \mathrm{P} \)
(A) \( a^{n} \) if \( n \in N \)
(B) \( \infty \) if \( n \in Z-\& a=A=0 \)
W
(C) \( \frac{1}{1+A} \) if \( n=0 \)
(D) \( a^{n} \) if \( n \in Z^{-}, A=0 \& a \neq 0 \)
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