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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

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

Grade:12th pass

1 Answers

downey zer
73 Points
5 years ago
answer is b as it satisfies both the properties i) and ii)
 
approve the ans thnx.......................................................................................................................................................................

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