3. Calculation (7' *8 = 56') (1). Disscuss the convergence of the series (n=1 sinzn .
0-11 points RogaCalcET3 10.4.027. 8. Determine convergence or divergence by any method. Σ-7 -n3/3 7n n e n=1 The series converges The series diverges. 0-11 points RogaCalcET3 10.4.027. 8. Determine convergence or divergence by any method. Σ-7 -n3/3 7n n e n=1 The series converges The series diverges.
N=1 3. Determine the radius of convergence and the interval of convergence of the series 21 (- 3)" Σ n n=1 (-1)",2 11 Tein the IT Serige oci to find our
7. Use the Alternating Series Test to determine the convergence or divergence of the series a) \(\sum_{n=1}^{\infty} \frac{(-1)^{n} \sqrt{n}}{2 n+1}\)b) \(\sum_{n=1}^{\infty} \frac{(-1)^{n} n}{2 n-1}\)8. Use the Ratio Test or the Root Test to determine the convergence or divergence of the seriesa) \(\sum_{n=0}^{\infty}\left(\frac{4 n-1}{5 n+7}\right)^{n}\)b) \(\sum_{n=0}^{\infty} \frac{\pi^{n}}{n !}\)
Find the interval of convergence of the power series: 5) 00 2n -(4x – 8)" n n=1 E (n + 1)(x - 2)" (2n + 1)! n=0 7) 00 w n(x + 10)" (2n)! n=0
(1 point) Find the interval of convergence for the following power series: n (z +2)n n2 The interval of convergence is 1 point) Find the interval of convergence for the following power series n-1 The interval of convergence is: If power series converges at a single value z c but diverges at all other values of z, write your answer as [c, c 1 point) Find all the values of x such that the given series would converge. Answer. Note:...
better? Problem 8. For each of the series, deternine convergence ot divergence and state the test s n-2 n in 5n - 2 c) n2 Tt roblem 8. For ench of the series, determine convergence or divergence and state the test wd 5n -2 n-Vn Problem 8. For each of the series, deternine convergence ot divergence and state the test s n-2 n in 5n - 2 c) n2 Tt roblem 8. For ench of the series, determine convergence or...
Question 3: Series and Convergence (3 points each) a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 2n N=0 For parts b, c, d, and e, show that the series converges or diverges. The table of special series and convergence tests should be used. Identify the type of convergence test used and be sure to show all work. (Hint: two should diverge) b) Σ (2n)!...
Find the series’ radius and interval of convergence. Check endpoints for convergence. 8 2 (x – 3)" n35n n=1
Check convergence/divergence of series by applying appropriate test for convergence n Σ, (2n +1)3/2
Find the radius of convergence, R, of the series. (-1)"x Σ Find 00 n n = 1 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = [-/1.04 Points] DETAILS SCALCET8 11.8.014. Find the radius of convergence, R, of the series. 00 x8n n! n = 1 R= Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = OFI Find the radius of convergence,...