If $x \geq 10^{100}$, then

• A

  $\frac{x}{e^x} \lt \frac{\ln \ln x}{\ln x} \lt \frac{\ln x}{x}$
• B

  $\frac{x}{e^x} \gt \frac{\ln x}{x} \gt \frac{\ln \ln x}{\ln x}$
• Correct answer
  C

  $\frac{x}{e^x} \lt \frac{\ln x}{x} \lt \frac{\ln \ln x}{\ln x}$
• D

  $\frac{\ln x}{x} \gt \frac{x}{e^x} \gt \frac{\ln \ln x}{\ln x}$

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