Use the Integral Test to determine whether the following series converges after showing that the conditions of the Integ

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Use The Integral Test To Determine Whether The Following Series Converges After Showing That The Conditions Of The Integ 1 (66.65 KiB) Viewed 41 times

Use the Integral Test to determine whether the following series converges after showing that the conditions of the Integral Test are satisfied. 00 7 Σ k(Ink)2 k = 5 7 Determine which conditions of the Integral Test are satisfied by the function f(x) = Select all that apply. x( In x)2 A. The function f(x) is positive for x 25. B. The function f(x) is an increasing function for x 25. C. The function f(x) is a decreasing function for x 25. D. The function f(x) has the property that ay = f(k) for k = 1, 2, 3, .... E. The function f(x) is negative for x 25. F. The function f(x) is continuous for x 25. What is the conclusion of the Integral Test? A. 00 7 The series converges because the integral Ş 1 dx converges. x( In x)2 B. 00 7 The series converges because the integral dx diverges. x(In x)2 C. The Integral Test does not apply to this series. D. 7 The series diverges because the integral dx converges. x( In x)2 E. CO 7 The series diverges because the integral S; dx diverges. x( In x)2 5