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JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy
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Application +4 | -1
If f(3)=6f(3)=6 and f′(3)=2f^{\prime}(3)=2, then lim⁡x→3xf(3)−3f(x)x−3\lim\limits _{x \rightarrow 3} \frac{x f(3)-3 f(x)}{x-3} is given by
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Correct option: C
0
Option C (0) is correct because after manipulation and applying the definition of the derivative, the expression simplifies to 6 - 3*2 = 0.

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