Soru 2. Suppose the series Ebox" converges for (x1<4. Select all that applies n=0 Yanıtınız: (-1)"b,4"...
Kalan süre: 177:16 Soru 1 Which of the following statements are true? Select all that apply Yanitiniz: inn The series Σ 8 Inn is convergent by the root test. The series Σ n=3 ninn[In(Inn)) diverges by the Integral Test. 0.62 = 0.626262...- (0.62) no The series in(9n+ + 7) - In(4n1 + 6n +9) diverges by the Divergence Test. n=1 Since Σ 8 + cos(1/n) s2 6" the series Σ 8 + cos(1/n) is convergent by the Comparison Test. nao...
n=0 (5 points each) Suppose the power series an(x - 1)" converges for 1 = 4 and diverges for x = -4. Answer each question below as yes, no, or can not be determined. (a) Does the power series converge for x = -1? (b) Does the power series converge for x = -2? (c) Does the power series converge for x = 5? (d) Does the power series converge for x = 7?
SORU 1 Determine convergence or divergence of the alternating series. Co 6n+2 [(-1)"In 5n+1 n=1 O A Converges O B. Diverges SORU 2 5 points A rectangular box with square base and no top is to have a volume of 32m². What is the least amount of material required? 36m2 OB. 38m² 42m2 OD. 38m2 ОЕ 48m2
2. (a) Determine if the following series converges or diverges. 2" No n+1 (b) Determine if the following geometric series converges or diverges. If it converges, find the sum. 0.444444...
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...
1 point) Suppose that onE" converges whenz-4 and diverges when - 8. Determine whether the following series converge or diverge. Answer "Converges"or "Diverges. Note: You only have two attempts at this problem. converges ' 1, Cn Diverges 2 9 Converges 3. c(-10)" I-0 n-0 Diverges 3. (-1)"с, 12" 1 point) Suppose that onE" converges whenz-4 and diverges when - 8. Determine whether the following series converge or diverge. Answer "Converges"or "Diverges. Note: You only have two attempts at this problem....
#3 n-1 Determine whether the series 2 35 n=1 converges or diverges. If it converges, find its sum. #41 00 n-1 Analyze for convergence (6) NO -0") . Find the sum in case the series converges. n=1
(1 point) For each of the series below select the letter from a to c that best applies and the letter from d to j that best applies. A possible correct answer is af, for example. A. The series is absolutely convergent. B. The series converges, but not absolutely C. The series diverges D. The alternating series test shows the series converges. E. The series is a p-series F. The series is a geometric series. G. We can decide whether...
HW: Show that the series __, an n=0 converges whenever ſal < 1, and diverges whenever al > 0.
0 d. 3, 4 Determine whether the series C (-1)* cos(kr) onverges absolutely, converges conditionally or wered k=2 Cof diverges. estion Select one: a. Converges absolutely O b. Converges conditionally c. None of these d. Diverges If fa power series ck (z – a)" converges absolutely for (x – al < R, then the series wered k=0 IM k=0 of converges. Select one: stion a. None of these b. True c. False