Problem

Prove the following statements:a. Σni=1 i2 is O(n3) and more generally, Σni=1 ik is O(nk+1...

Prove the following statements:

a. Σni=1 i2 is O(n3) and more generally, Σni=1 ik is O(nk+1).
b. ank/lg n is O(nk), but ank/lg n is not Θ(nk).
c. n1.1 + n lg n is Θ(n1.1).
d. 2n is O(n!) and n! is not O(2n).
e. 2n+a is O(2n).
f. 22n+a is not O(2n).
g. .

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