In the graph below, the function f(x) is graphed with a bold, blue curve, and the function g(x) with a light, red curve. Assume that the behavior of both functions as x → ∞ is accurately suggested by the domain on which they are graphed in the figure. Suppose ∫ a ∞ f(x)dx converges. What does this graph suggest about the convergence of ∫ a ∞ g(x)dx? A. ∫ a ∞ g(x)dx converges B. the graph does not provide enough information to suggest with any certainty whether ∫ a ∞ g(x)dx converges or diverges C. ∫ a ∞ g(x)dx neither converges nor diverges D. ∫ a ∞ g(x)dx diverges
