\( \lim _{x \rightarrow \infty} \frac{(a x+1)^{n}}{x^{n}+A} \) is e...

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