Use the Integral Test to determine whether the following series converges after showing that the conditions of the Integral Test are satisfied. ∞ Σ k=1 ,2k 1+ e Determine which conditions of the Integral Test are satisfied by the function f(x) = e 2x 1+ 4x O A. 4k A. The function f(x) is continuous for x ≥ 1. B. The function f(x) has the property that ak = f(k) for k= 1, 2, 3, .... O B. C. The function f(x) is positive for x ≥ 1. D. The function f(x) is an increasing function for x 21. E. The function f(x) is a decreasing function for x ≥ 1. F. The function f(x) is negative for x ≥ 1. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The series diverges. The value of the integral (Type an exact answer.) 8 The series converges. The value of the integral (Type an exact answer.) C. The Integral Test does not apply to this series. ,2x 1+ e 4x 8 1 dx is Select all that apply. e 2x 1+ e 4x dx is
Use the Integral Test to determine whether the following series converges after showing that the conditions of the Integral Test are satisfied. ∞ Σ k=1 ,2k 1+ e Determine which conditions of the Integral Test are satisfied by the function f(x) = e 2x 1+ 4x O A. 4k A. The function f(x) is continuous for x ≥ 1. B. The function f(x) has the property that ak = f(k) for k= 1, 2, 3, .... O B. C. The function f(x) is positive for x ≥ 1. D. The function f(x) is an increasing function for x 21. E. The function f(x) is a decreasing function for x ≥ 1. F. The function f(x) is negative for x ≥ 1. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The series diverges. The value of the integral (Type an exact answer.) 8 The series converges. The value of the integral (Type an exact answer.) C. The Integral Test does not apply to this series. ,2x 1+ e 4x 8 1 dx is Select all that apply. e 2x 1+ e 4x dx is
Use the Integral Test to determine whether the following series converges after showing that the conditions of the Integral Test are satisfied. ∞ Σ k=1 ,2k 1+ e Determine which conditions of the Integral Test are satisfied by the function f(x) = e 2x 1+ 4x O A. 4k A. The function f(x) is continuous for x ≥ 1. B. The function f(x) has the property that ak = f(k) for k= 1, 2, 3, .... O B. C. The function f(x) is positive for x ≥ 1. D. The function f(x) is an increasing function for x 21. E. The function f(x) is a decreasing function for x ≥ 1. F. The function f(x) is negative for x ≥ 1. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The series diverges. The value of the integral (Type an exact answer.) 8 The series converges. The value of the integral (Type an exact answer.) C. The Integral Test does not apply to this series. ,2x 1+ e 4x 8 1 dx is Select all that apply. e 2x 1+ e 4x dx is
Use the integral test to show whether the following series converges.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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