The value of \( \lim _{n \rightarrow \infty}\left((15)^{n}+\left[(1+0.0001)^{10000}\right]^{n}\r...

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The value of \( \lim _{n \rightarrow \infty}\left((15)^{n}+\left[(1+0.0001)^{10000}\right]^{n}\right)^{1 / n} \), where [.] denotes the greatest integer function, is
(a) 1
(b) \( \frac{1}{2} \)
(c) Doesn't exist
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