If $f\left(x\right)=\frac{x^2-\left[x^2\right]}{x^2-\left[x^2-2\right]}$ (where, $\left[\cdot \right]$ represents the greatest integer part of $x$), then the range of $f\left(x\right)$ is

• A

  $\left[0,1\right)$
• B

  $\left(-1,1\right)$
• C

  $\left(0,\infty \right)$
• Correct answer
  D

  $\left[0,\frac{1}{3}\right)$

Hence, the correct answer is option: 'D'.