The value of $\mathop {\lim }\limits_{h \to 0} \frac{{\ln \left( {1 + 2h} \right) - 2l{\rm{n}}\left( {1 + h} \right)}}{{{h^2}}}$ is

JEE MATHEMATICS MCQ: LIMITS

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The value of

\lim\limits_{h \to 0} \frac{{\ln \left( {1 + 2h} \right) - 2l\mathrm{n}\left( {1 + h} \right)}}{{{h^2}}}

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Correct option: B

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Option B (

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) is correct because using logarithm properties and limit evaluation, the expression simplifies to

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