Solve this following

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Question:

Let $\mathrm{f}$ be a function defined by $\mathrm{f}(\mathrm{x})=\left\{\begin{array}{cc}\frac{\tan \mathrm{x}}{\mathrm{x}}, & \mathrm{x} \neq 0 \\ 1, & \mathrm{x}=0\end{array}\right.$

Statement - 1: $x=0$ is point of minima of $f$.

Statement - 2: $\mathrm{f}^{\prime}(0)=0 .$

 

  1. Statement-1 is false, statement- 2 is true.

  2. Statement-1 is true, statement- 2 is true; Statement- 2 is correct explanation for statement-1.

  3. Statement- 1 is true, statement- 2 is true; Statement- 2 is not a correct explanation for statement$1 .$

  4. Statement-1 is true, statement- 2 is false.


Correct Option: , 3

Solution:

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