JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

\lim \limits_{x \rightarrow a^{-}} \frac{\sqrt{x-b}-\sqrt{a-b}}{\left(x^2-a^2\right)},(a>b)

View answer and explanation

Correct option: D

\frac{1}{4 a \sqrt{a-b}}

Option D (

\frac{1}{4 a \sqrt{a-b}}

) is correct because the limit can be evaluated by rationalizing the numerator and simplifying the expression.

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