Question: . (28 points) Use the definitions to prove that: - (a) n3+10n2+5n=O(n3) - (b) 2n45n2=(n4) - (c) nlognn=(n) - (d) aknk+ak1nk1++a0=(nk). Here ak,ak1,,a1,a0 are constants

. (28 points) Use the definitions to prove that: - (a) n3+10n2+5n=O(n3) - (b) 2n45n2=(n4) - (c) nlognn=(n) - (d) aknk+ak1nk1++a0=(nk). Here ak,ak1,,a1,a0 are constants with ak>0, and k is a positive integer
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