The value of $\underset{x\to 0}{lim} \frac{{\int }_{-x}^x f\left(t\right)\mathrm{d}t}{{\int }_0^{2x} f(t+4)\mathrm{d}t}$ is (where $f$ is a continuous function and $f\left(x\right) > 0$ for all $x$)

 

• A

  $f\left(0\right)$

• B

  0

• C

  $f\left(4\right)/f\left(0\right)$

• D

  $f\left(0\right)/f\left(4\right)$