A function f(·) satisfies the following two properties :
(i) f (1) = 1
(ii) f (a) = (a - 1) x f (a - 1)
where a is any positive real number. Assume that n is a positive integer. Whlch one of
the following statements is certainly true?
(a) f (n) = (n- 1)
(b) f(n) = (n- 1)!
(c) f(n) = n*(n-1)
(d) f (n) cannot be computed from the information given

sudu , 7 Years ago

Grade 12th pass