Limits Continuity and Differentiability

JEE Main 2021 · 26 Feb, Evening shift · Q4199

MathematicsEasy179×since 2002Q4199

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

MathematicsEasy179×since 2002Q4199

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 :

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