COMP 332Assignment 2

due: Tuesday, September 15

Note: you may find the formulas in Appendix A to be helpful for this home-work.

1. Do Exercise 2.1.6.

2. Do Exercise 2.2.3.

3. Do Exercise 2.3.3

4. Do Exercise 2.3.4

5. Suppose there are two functions, f(n) and h(n) such that f(n) ∈ o(h(n)).Prove or disprove: There always exists a function g(n) such that f(n) ∈o(g(n)) and g(n) ∈ o(h(n)). For example, with f(n) = n and h(n) = n2,we could pick g(n) = nlgn. (This might be too hard to solve in general.If so, give a reasonable simplification of the problem and solve the simplerform.)

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