Question 9
Let f : N → N be defined by f (n) = n n n n + 1/2 , , if is odd if is even for all n ∈ N. State whether the function f is bijective. Justify your answer.
SOLUTION
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Let f : N → N be defined by f (n) = n n n n + 1/2 , , if is odd if is even for all n ∈ N. State whether the function f is bijective. Justify your answer.