6. Give as good a big-O estimate as possible for each of these functions.a) (n2 + 8)(n + 1) b) (n log n + n2)(n3 + 2) c) (n! + 2n)(n3 + log(n2 + 1))
Question
Solution 1
a) (n^2 + 8)(n + 1)
The highest degree term in this function is n^3 (from n^2 * n), so the big-O estimate is O(n^3).
b) (n log n + n^2)(n^3 + 2)
The highest degree term in this function is n^5 (from n^2 * n^3), so the big-O estimate is O(n^5).
c) (n! + 2n)(n^3 + log(n^2 + 1))
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