The value of \( \lim _{n \rightarrow \infty} \frac{a^{n}+b^{n}}{a^{n}-b^{n}} \), (where \( \left...

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The value of \( \lim _{n \rightarrow \infty} \frac{a^{n}+b^{n}}{a^{n}-b^{n}} \), (where \( \left.ab1\right) \) is
(a) 1
(b) \( -1 \)
(c) \( \frac{1}{2} \)
(d) \( \frac{1}{\sqrt{2}} \)
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