In each of the following, f g: Z+ R. Use Definition 5.23 to show that g

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In each of the following, f g: Z+ → R. Use Definition 5.23 to show that g dominates f.
a) f(n) = 100 log2n, g(n) = (1/2)n
b) f(n) = 2n, g(n) = 22n - 1000
c) f(n) - 3n2, g(n) = 2n + 2n
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