f. 20 2. Determine whether the series converges in any four (4) of a 2 -...
2. Determine whether the series converges in any four (4) of a - f. [20 = 4 x5 each] 27 - 37 ln(n) b. (-3) "e" 47 + (-1) XO a. C. . T=0 โ=0 n=1 18 d. sin(n) + cos(n) ทง + n + n +1 C. (-1) f. " Vn+1 n! 1-0 n=1
Determine whether the series converges 8 nn a. sin(n) + cos(n) n3 +n + n +1 b. c. Σ (-1)" Vn+1 n! n=0 n=1 n=2
7) Use the Ordinary Comparison Test to determine whether the series is convergent or divergent. Υ n (a) (6) Σ η η 5" 3η – 4 M8 M8 (Inn) 2 (c) η (d) tan n2 n3 η-2 1 (e) Σ (6) Σ 2n + 3 2n + 3 ή-1 1-1
12. Determine whether the following series converge or diverge. (a) (b) 2-nzn-1 4n n=0 n=1 4n (-1)n+1 loge n (c) (d) 7n + 1 n n=1 n=3 iM: M: Mį M8 sinn (e) ✓n n2 + 2 (f) n2 n=1 n=1 2n en (g) (h) Vn! n=1 n=1
Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n Σ 4n+4 00 Σ (+: 4 4 n7 n15 W Converges-Integral/Comparison Test Converges-Ratio Test Converges-Alternating Series Test Diverges-Integral/Comparison Test Diverges-Ratio Test Diverges-Alternating Series Test
Use the pull down menu to state whether the series converges or diverges and by which convergence test. 3m 4 (1y Vn+3 8" n! g0- 32 443 (-1'n...
Determine whether the following series converges. Justify your answer. 00 Σ 6 + cos 3k ko k=1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) OA. The series is a p-series with p= so the series converges by the properties of a p-series. 00 OB. The Integral Test yields J f(x) dx = .so the series diverges by the Integral Test. 0 6 + cos 3k O...
a,b,c
3. Determine whether the series converges or diverges. 00 3+ sinn (a) 3 + sinn vn (b) Σ 4" (c) 3h + 5 n1
Determine whether the following series converges. Justify your answer. 8 + cos 10k Σ k= 1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) 8+ cos 10k 9 O A. Because 9 E and, for any positive integer k, E converges, the given series converges by the Comparison Test. 8 k=1 00 OB. The Integral Test yields f(x) dx = so the series diverges by the Integral...
(1 point) Which of the following series converges by the Alternating Series Test? A. (-5)" n7 n1 B sin(n) 5n2 00 O C. (-1)"n2 +5n 3n2 + 7 n1 IM8 M8 00 D. n1 (-1)" 5n-1 E. Both A and B.
(5 points) Determine whether the series converges or diverges. If it converges, find the limit. M8 In(5n) n n=1