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Use the Integral Test to determine whether the following series converges after showing that the conditions of the Integral Test are satisfied. 5 k =
Use the Integral Test to determine whether the following series converges after showing that the conditions of the Integral Test are satisfied. 5 k = 3 k( In k)- 5 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) has the property that ax = f(k) for k = 1, 2, 3, .... B. The function f(x) is positive for x 2 3. C. The function f(x) is negative for x 2 3. D. The function f(x) is continuous for x 23. E. The function f(x) is a decreasing function for x 23. F. The function f(x) is an increasing function for x 2 3.What is 1he conclusion of the Integral Test? CI t. The Integral Test does not apply to this series. 0 E. m 5 The series converges because the integral 2dx diverges. 3 x[ In x] O C. W 5 The series converges because the integral I 2 d): converges. 3 XI: In x] O D. m 5 The series diverges because the integral I 2 dx converges. 3 x[ In x} O E. m 5 The series diverges because the integral I 2dx diverges. XE In 3:} El Use the Comparison Test or Limit Comparison Test to determine whether the following series converges. 161-6 k=1 1 9k +2 Choose the correct answer below. O A. The Comparison Test with _ 3k shows that the series converges. k =1 00 4 O B. The Comparison Test with _ 3k shows that the series diverges. k = 1 DO O C. The Limit Comparison Test with 2 3k shows that the series diverges. k =1 4 O D. The Limit Comparison Test with 34 shows that the series converges. k = 1
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