The graphs of the functions f(x), g(x), h(x), j(x), and k(x) (all blue, with f to k appearing left-to-right), and p(x) (red) and q(x) (green) are shown in the following graph.
Suppose that g(x) = x^-2 and j(x) = x^-1.
1. Is the area between g(x) and j(x) from x = 1 to ∞ finite or infinite?
A. finite
B. infinite
2. Does the integral of f(x) from x = 1 to ∞ converge?
A. converge
B. diverge
C. it is impossible to tell
3. Does the integral of h(x) from x = 1 to ∞ converge?
A. converge
B. diverge
C. it is impossible to tell
4. Does the integral of k(x) from x = 1 to ∞ converge?
A. converge
B. diverge
C. it is impossible to tell
5. Does the integral of p(x) from x = 1 to ∞ converge?
A. converge
B. diverge
C. it is impossible to tell
6. Does the integral of q(x) from x = 1 to ∞ converge?
A. converge
B. diverge
C. it is impossible to tell