Prove or disprove each of the following.
a. 1,000,000 n
2
O(n
2
) why/why not?
b. (n - 1)n / 2 O(n
2
) why /why not?
c. n / 2 O(n
2
) why /why not?
d. lg (n
2
) O( lg n ) why /why not?
e. n
2 O(n) why /why not?
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Answer:
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