Solve this following

Question:

If $\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}$ is a differentiable function and

$f(2)=6$, then $\lim _{x \rightarrow 2} \int_{6}^{f(x)} \frac{2 t d t}{(x-2)}$ is :-

  1. 0

  2. $2 f^{\prime}(2)$

  3. $12 f^{\prime}(2)$

  4. $24 f^{\prime}(2)$


Correct Option: , 3

Solution:

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