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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 
.
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.
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