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(d) If p(n) and q(n) are two functions such that p(n) is O(q(n)), does this always mean that for every value of n, p(n) q(n)?

(d) If p(n) and q(n) are two functions such that p(n) is O(q(n)), does this always mean that for every value of n, p(n) q(n)? If you think the answer is yes, give a justification. If you think the answer is no, give a counterexample i.e. find two functions p(n) and q(n) and a number y such that p(n) is O(q(n)) and p(y) > q(y)

SPECIAL NOTE: Please give an example if you agree. If you disagree with the statment: "for every value of n, p(n) q(n)", please give an example. Give a layman explanation. And if you are going to take a picture of your work and upload it, make sure the picture is readable and not cutoff. It must be fully readable.

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