If $f\left(x\right)=\frac{x^2-\left[x^2\right]}{1+x^2-\left[x^2\right]}$ (where $\left[.\right]$ represents the greatest integer part of $x$ ), then the range of $f\left(x\right)$ is

• A

  $\left[\mathrm{0,1}\right)$
• B

  $\left(-\mathrm{1,1}\right)$
• C

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

  $\left[0,\frac{1}{2}\right)$

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