Show that the assumption of monotonicity in the monotone convergence theorem is necessary. Show that the...

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Show that the assumption that we are always able to determine which candidate is best, in line 4 of procedure HIRE-ASSISTANT, implies that we know a total order on the ranks of the candidates.
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In Problems 1-3, use the Monotonicity Theorem to find where the given function is increasing and where it is decreasing. 1. f(x) = 3x + 3 2. g(x) = (x + 1) (x - 2) 3. h(t) = t2 + 2t - 3
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