If $\text{p,}\text{q,}\text{r,}\text{s}>0,$ then $\underset{\text{x}\to \infty }{\text{lim}}{\left(\frac{{\text{p}}^{\frac{1}{\text{x}}}+{\text{q}}^{\frac{1}{\text{x}}}+{\text{r}}^{\frac{1}{\text{x}}}+{\text{s}}^{\frac{1}{\text{x}}}}{4}\right)}^{3\text{x}}$ is equal to

• A

  $\text{pqrs}$
• B

  ${\left(\text{pqrs}\right)}^3$
• C

  ${\left(\text{pqrs}\right)}^{\frac{3}{2}}$
• Correct answer
  D

  ${\left(\text{pqrs}\right)}^{\frac{3}{4}}$

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