JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

The value of

\lim\limits_{x \to \infty } x\left\{ {{{\tan }^{ - 1}}\left( {\frac{{x + 1}}{{x + 2}}} \right) - {{\tan }^{ - 1}}\left( {\frac{x}{{x + 2}}} \right)} \right\}

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Correct option: C

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Option C (

1/2

) is correct because using the arctangent subtraction formula and then the small angle approximation for tangent yields the correct limit.

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