Mark the correct alternative in each of the following: \( \lim _{x \rightarrow \infty} a^{x} \si...

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Mark the correct alternative in each of the following: \( \lim _{x \rightarrow \infty} a^{x} \sin \left(\frac{b}{a^{x}}\right), a, b1 \) is equal to
(A) \( b \)
(B) \( a \)
(C) \( a \log _{e} b \)
(D) \( b \log _{e} a \)
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