or diverges (D) 9. (18pts) Circle whether the following series converges (C) A short explanation to...
00 Determine whether the series 2" +5" 6 converges or diverges. If it converges, find its sum. n=1 Select the correct answer below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is the sum of two geometric series, at least one with In 21. The series converges because it is the sum of two geometric series, each with (r< 1. The sum of the series is OB (Simplify your answer.)...
1. Determine whether the series converges or diverges.$$ \sum_{k=1}^{\infty} \frac{\ln (k)}{k} $$convergesdiverges2.Test the series for convergence or divergence.$$ \sum_{n=1}^{\infty}(-1)^{n} \sin \left(\frac{3 \pi}{n}\right) $$convergesdiverges
Use an appropriate test to determine whether the series given below converges or diverges. Show all work needed to support the conclusion of convergence or divergence. State all tests used. Give any values of "r" or "p" or limits used. (n+7)(n+3) n = 1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges. OB. The series diverges.
8-31 Determine whether the series - converges or diverges. If it converges, find the sum. (If the quantity diverges, enter DIVERGES.) Son 8-31 n=1 - = nsion Determine whether the series converges absolutely, conditionally, or not at all. (-1) - 1 n1/2 n=1 The series converges absolutely. The series converges conditionally. The series diverges. For which values of x does (n + 4)!x converge? n = 0 (-0,00) (-1,1) O no values exist O x = 0 (-4,4) Find the...
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2 (b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show all of your work. (The final exam may include different series that require different convergence tests from the test required in these problems) 3" 2" c) b) n-1 n 2"n e)Σ d) n-2川Inn (2n 30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show...
Determine whether the series - converges or diverges. If it converges, find its sum. nt 8 Select the correct answer below and, if necessary, fill in the answer box within your choice. 4" + OA The series converges because lim- -= 0. The sum of the series is (Simplify your answer.) O B. The series diverges because lim*++0 or fails to exist. 008 O C. The series diverges because it is the sum of two geometric series, at least one...
0 31 -1 Determine whether the series converges or diverges. If it converges, find its sum. n =0 Select the correct choice below and, if necessary, fill in the answer box within your choice. 3h -1 = 0. The sum of the series is ОА. The series converges because lim . (Type an integer or a simplified fraction.) O B. The series diverges because it is the difference between two geometric series, at least one with Ir| 21. The series...
Determine whether the series 2 (+ )" 4n converges or diverges. a) diverges b) converges c) cannot be determined
I will rate (: thanks 16. (20 points) Determine whether the following series converges or diverges. State the name of the test you will be using. Use proper notation and show all your work. (a) 5n +3 n(n2 + 1) (b) 10" 7,17 5 n! (d) E (-1)" arctan(n) n° +1 (e) Determine whether the series in part (d) is absolutely convergent or conditionally convergent. State the test you use, use proper notation and show all of your work.