Question: Ernie and Bert study the functions f(n) = n^2 + 2n and g(n) = n^2. Ernie claims that the functions are asymptotically equal, so f

Ernie and Bert study the functions f(n) = n^2 + 2n

Ernie and Bert study the functions f(n) = n^2 + 2n and g(n) = n^2. Ernie claims that the functions are asymptotically equal, so f ~ g. Bert insists that f can never be asymptotically equal to g, since they always differ quite significantly, namely f(n) - g(n) greaterthanorequalto 2n for all n greaterthanorequalto 1. Explain why one is right and why the other is wrong

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