Answer :

Given: f (n) = (n + 1)/ 2, if n is odd


n/ 2, if n is even


Case 1: When n is odd,


When n = 1,


When n = 3,


When n = 2k – 1, … (1)


Case 2: When n is even,


When n = 2,


When n = 4,


When n = 2k, … (2)


When n = 2n, … (3)


From (1) and (2),


f (2k – 1) = f (2k)


f is not one – one.


From (3),


f (2n) = n


f is onto.


f is onto but not one – one.


Hence f is not bijective.


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