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Limits Continuity and Differentiability question

2003 · Shift 0 · Q70
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  2. /JEE Main
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  4. /Limits Continuity and Differentiability
  5. /2003 · Shift 0 · Q70

Limits Continuity and Differentiability question

2003 · Shift 0 · Q70

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
If lim⁡x→0log⁡(3+x)−log⁡(3−x)x\mathop {\lim }\limits_{x \to 0} {{\log \left( {3 + x} \right) - \log \left( {3 - x} \right)} \over x}x→0lim​xlog(3+x)−log(3−x)​ = k, the value of k is
  1. A
    −23- {2 \over 3}−32​
  2. B
    0
  3. C
    −13- {1 \over 3}−31​
  4. D
    23{2 \over 3}32​
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