Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then lim x → a (xf(a) - af(x))/(x - a) equals:

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Feb, Evening shift · Q4199

JEE Main 202126 Feb, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then

\mathop {\lim }\limits_{x \to a} {{xf(a) - af(x)} \over {x - a}}

equals :

JEE Main 2021 · 26 Feb, Evening shift · Q4199

JEE Main 202126 Feb, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then

\mathop {\lim }\limits_{x \to a} {{xf(a) - af(x)} \over {x - a}}

equals :