$\mathop {\lim }\limits_{x \to a} \left( {\frac{{\tan x - \tan a}}{{x - a}}} \right)$ is

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

\lim\limits_{x \to a} \left( {\frac{{\tan x - \tan a}}{{x - a}}} \right)

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Correct option: D

{\sec ^2}a

Option D (

{\sec ^2}a

) is correct because the limit represents the derivative of the tangent function evaluated at x=a, and the derivative of tan(x) is sec²(x).

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