Question

The initial condition for the recurrence relation of a factorial is ___________

(a) 0!=0

(b) 0!=1

(c) 1!=1

(d) 1!=0

I had been asked this question in examination.

My query is from Generalized Mean Value Theorem topic in section Differential Calculus of Engineering Mathematics

Answer 1

Right choice is (b) 0!=1

Easiest explanation: Factorial of a number is defined by the recurrence relation as, n!=n(n-1)!  for  n>0 and the initial condition is 0!=1.