On the graph below, we have three functions f(x) = 1/x^2 , g(x) = 7/x^2+2 , and h(x) = e^-x . If, on the interval [2, ∞), we know that ∫ ∞ 2 1 x2 dx converges and h(x) ≤ f(x) ≤ g(x), which of the following statements are true? ∫ ∞ 2 g(x)dx diverges ∫ ∞ 2 h(x)dx diverges ∫ ∞ 2 g(x)dx converges ∫ ∞ 2 h(x)dx converges
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On the graph below, we have three functions f(x) = 1/x^2 , g(x) = 7/x^2+2 , and h(x) = e^-x . If, on the interval [2, ∞), we know that ∫ ∞ 2 1 x2 dx converges and h(x) ≤ f(x) ≤ g(x), which of the following statements are true? ∫ ∞ 2 g(x)dx diverges ∫ ∞ 2 h(x)dx diverges ∫ ∞ 2 g(x)dx converges ∫ ∞ 2 h(x)dx converges
