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2. (30 points) Rank the following functions by order of growth, i.e., g i = (g i+1 ) (Note: look carefully at the equation above

2. (30 points)

Rank the following functions by order of growth, i.e., gi = (gi+1)

(Note: look carefully at the equation above and give the correct order):

1. n^2

2. n!

3. n^3

4. (log2n)^2

5. log2(n!)

6. n*2^n

7. 2^(log2n)

8. n^(1/log2n)

Justify your answer.

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