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 (this means that they will NOT cross again as x → ∞).
Suppose ∫ₐ∞ f(x) dx converges. What does this graph suggest about the convergence of ∫ₐ∞ g(x) dx?
A. the graph does not provide enough information to suggest with any certainty whether ∫ₐ∞ g(x) dx converges or diverges
B. ∫ₐ∞ g(x) dx converges
C. ∫ₐ∞ g(x) dx neither converges nor diverges
D. ∫ₐ∞ g(x) dx diverges