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JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1
If lim⁡x→0log⁡(3+x)−log⁡(3−x)x=k\lim\limits_{x \to 0} \frac{{\log \left( {3 + x} \right) - \log \left( {3 - x} \right)}}{x} = k, the value of kk is
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Correct option: C
23\frac{2}{3}
Option C (23\frac{2}{3}) is correct because applying L'Hopital's rule to the limit results in 23\frac{2}{3}.

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