Solve this following
Question:

If $f(x)=\left|\begin{array}{ccc}\cos x & x & 1 \\ 2 \sin x x^{2} & 2 x \\ \tan x & x & 1\end{array}\right|$, then $\lim _{x \rightarrow 0} \frac{f^{\prime}(x)}{x}$

 

  1. exists and is equal to 0

  2. exists and is equal to $-2$

  3. exists and is equal to 2

  4. does not exist


Correct Option: , 2

Solution:

Solution not required

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