Suppose g(x) is a positive continuous function defined for x ≥ 2. determine if each of the statements below can be used to support the conclusion that ∞ g(x) dx 2 converges. (each statement is independent of the others.) (a) b g(x) dx 2 = 1 4 − 1 b2 yes no (b) 0 < g(x) < 1 x3 yes no (c) lim x→∞ g(x) = 0 yes no (d) 0 < g(x) < 1 yes no

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