Question: 1. Let f(n) = 2n + 1, n = 0, 1, 2.... Define f(n) recursively. 2. Let f(n) = n^2 , n = 1, 2....

1. Let f(n) = 2n + 1, n = 0, 1, 2.... Define f(n) recursively.

2. Let f(n) = n^2 , n = 1, 2.... Define f(n) recursively.

3. Prove that 1. Let f(n) = 2n + 1, n = 0, 1, 2.....

4. Determine whether each of the following is a one-to-one and/or an onto. Give a proof or provide a counterexample to justify your answer.

Define f(n) recursively. 2. Let f(n) = n^2 , n = 1,

logz(n!) > n, n > 4

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