Question

(1 point) Given the function $f(x) = frac{1}{x^{3/2}}$ (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on $(0, infty)$. Assuming the graphs continues in the same way as x goes to infinity, answer the following questions. 1. Does the improper integral $int_{1}^{infty} f(x) , dx$ converge, diverge, or not sufficient 2. Does the improper integral $int_{1}^{infty} g(x) , dx$ converge, diverge, or not sufficient 3. Does the improper integral $int_{1}^{infty} h(x) , dx$ converge, diverge, or not sufficient

          (1 point) Given the function $f(x) = frac{1}{x^{3/2}}$ (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on $(0, infty)$. Assuming the graphs continues in the same way as x goes to infinity, answer the following questions.

1. Does the improper integral $int_{1}^{infty} f(x) , dx$ converge, diverge, or not sufficient

2. Does the improper integral $int_{1}^{infty} g(x) , dx$ converge, diverge, or not sufficient

3. Does the improper integral $int_{1}^{infty} h(x) , dx$ converge, diverge, or not sufficient

$(1 point) Given the function f(x) = frac1x^3/2 (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on (0, infty). Assuming the graphs continues in the same way as x goes to infinity, answer the following questions. 1. Does the improper integral int1^infty f(x) , dx converge, diverge, or not sufficient 2. Does the improper integral int1^infty g(x) , dx converge, diverge, or not sufficient 3. Does the improper integral int1^infty h(x) , dx converge, diverge, or not sufficient$

Added by Jeffrey K.

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