Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more. than one method applies, use whatever method you prefer. 00 S Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. 1 O B. dx x +6 The comparison function g(x)= can be used with a comparison test to determine convergence, but since 3 OA. 00 S 0 √x +6 √√x +6 this choice of g(x) is discontinuous at x = OF dx 00 S dx √√x +6 and g(x) are both continuous and positive over the interval. f(x) > g(x) over this interval, and the integral of g(x) over this interval diverges. (Type your answer in interval notation.) 1 this choice of g(x) is discontinuous at x = dx √x+6 dx 1 The comparison function g(x)= can be used with a comparison test to determine convergence, but since 00 OD S dx √√x +6 -S. interval converges, and J dx √√x+6 (Type your answer in interval notation.) dx S OC. The integral converges because 1 ndj- dx √x +6 S and g(x) are both continuous and positive over the interval 0 g(x) over this interval, the integral of g(x) 1 dx D must be rewritten as has the exact value dx By the Direct Comparison Test, the integral converges because f(x) must be rewritten as 1 The comparison function g(x)= can be used with a comparison test to determine convergence, but since x² Ĵ is not defined. must be rewritten as has a finite value. dx D x+6 must be rewritten as dx . By the Limit Comparison Test, the integral diverges because f(x) +6 f(x) and g(x) are both continuous and positive over the interval .0< lim X-9(x) 00, and the integral of g(x) over