JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

\lim\limits_{x \to 0} \left[ {\frac{{\sqrt {a + x} - \sqrt {a - x} }}{{4x}}} \right]

is equal to

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because by rationalizing the numerator and simplifying, the limit can be evaluated to

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

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