Question

Given the function f(x) = 1/x (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on (0, infinity). Assuming the graphs continue in the same way as x goes to infinity, answer the following questions. Note: You only have two attempts at this problem. 1. Does the improper integral integral_1^infinity f(x) dx converge, diverge, or not sufficient information? 2. Does the improper integral integral_1^infinity g(x) dx converge, diverge, or not sufficient information? 3. Does the improper integral integral_1^infinity h(x) dx converge, diverge, or not sufficient information?

          Given the function f(x) = 1/x (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on (0, infinity). Assuming the graphs continue in the same way as x goes to infinity, answer the following questions.
Note: You only have two attempts at this problem.
1. Does the improper integral integral_1^infinity f(x) dx converge, diverge, or not sufficient information?
2. Does the improper integral integral_1^infinity g(x) dx converge, diverge, or not sufficient information?
3. Does the improper integral integral_1^infinity h(x) dx converge, diverge, or not sufficient information?

Given the function f(x) = 1/x (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on (0, infinity). Assuming the graphs continue in the same way as x goes to infinity, answer the following questions.
Note: You only have two attempts at this problem.
1. Does the improper integral integral1^infinity f(x) dx converge, diverge, or not sufficient information?
2. Does the improper integral integral1^infinity g(x) dx converge, diverge, or not sufficient information?
3. Does the improper integral integral1^infinity h(x) dx converge, diverge, or not sufficient information?

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