JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

The value of

\lim \limits_{{x \rightarrow a}} \frac{\sqrt{x-b}-\sqrt{a-b}}{x^2-a^2}(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 after rationalizing and simplifying, the limit evaluates to

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

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