$\lim _{x \rightarrow \infty} \frac{3 x+4 \cos ^2 x}{\sqrt{x^2-5 \sin ^2 x}}=$

• A

  $\frac{3}{5}$
• B

  $\frac{4}{5}$
• Correct answer
  C

  $3$
• D

  $1$

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