Factorial approximation for all numbers

Key Points

• To explore methods for approximating the factorial function across all numbers.
• Analyzed various mathematical techniques for factorial approximation.
• Evaluated the accuracy of different approximation methods.
• Illustrated the approach using numerical examples.
• Identified effective formulas for approximating factorial values.
• Demonstrated that certain approximations yield high accuracy for large numbers.
• Provided comparative analysis between traditional and approximation methods.