Because |n^2|≤|n^3| as n→∞, so if |f| ≤ A|n^2| as n→∞, then |f| ≤ A|n^3| as n→∞.

		ndriscoll 4 months ago \| parent \| context \| favorite \| on: A visual introduction to big O notation Because \|n^2\|≤\|n^3\| as n→∞, so if \|f\| ≤ A\|n^2\| as n→∞, then \|f\| ≤ A\|n^3\| as n→∞.