The value of $\mathop {\lim }\limits_{x \to b} \frac{{\sqrt {x - a} - \sqrt {b - a} }}{{{x^2} - {b^2}}},$ for $b>a$, is

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

The value of

\lim\limits_{x \to b} \frac{{\sqrt {x - a} - \sqrt {b - a} }}{{{x^2} - {b^2}}},

for

b>a

, is

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because rationalizing the numerator and simplifying the expression leads to the given result.

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