JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

It is given that

f^{\prime}(a)

exists, then

\lim\limits _{x \rightarrow a} \frac{x f(a)-a f(x)}{x-a}

is equal to

View answer and explanation

Correct option: A

f(a)-a f^{\prime}(a)

Option A (

f(a)-a f^{\prime}(a)

) is correct because it is the result of evaluating the limit using the definition of the derivative.

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