The value of $\mathop {\lim }\limits_{x \to 7} \frac{{2 - \sqrt {x - 3} }}{{{x^2} - 49}}$ is

JEE MATHEMATICS MCQ: LIMITS

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The value of

\lim\limits_{x \to 7} \frac{{2 - \sqrt {x - 3} }}{{{x^2} - 49}}

View answer and explanation

Correct option: D

- 1/56

Option D (

\frac{-1}{56}

) is correct because it is the result of applying L'Hopital's rule to the limit after recognizing it as an indeterminate form.

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