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Limits Continuity and Differentiability question

2021 · 26 Feb · Shift 2 · Q26

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 26 Feb · Shift 2 · Q26

Limits Continuity and Differentiability question

2021 · 26 Feb · Shift 2 · Q26

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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 :

A
4 $-$ 2a
B
2a + 4
C
a + 4
D
2a $-$ 4

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