FACT

Member Of Menu: 
Real
Argument Types: 
Real
Symbol
Expression
Result Type(s): 
Real
Expression
Invertible: 
No
Valid In Expression: 
Yes
Stack Diagram: 
Real1 → Real2
Symbol1 → Expression2
Expression1 → Expression2

This function returns the factorial of its input parameter. For integer input values greater than or equal to 0, that means that x! is returned where x is the input value. However, FACT returns a value for all real values between -1 and 170, including non-integer values. It does so using the Gamma function. Assuming that the input value is x, the result then is Γ(x+1). For all other values, an infinite result error is returned.