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a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 00 3 8n NO 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) 2 + 7 con Σ Test: (-1) in...
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...
(1 point) In order to determine the convergence or divergence of the series (-5)" n=1 (n2 + 5n) 4n+1 we calculate the limit L needed to run the Ratio Test. Which of the following values would we get? O A. L= 5 4 B. L = 00 O C. L = 0. Op. L = 5 16 O E. L = -5 20 OF. the limit L does not exist.
3. . 4. 6. Find the radius of convergence, R, of the series. x2+4 5n! n = 1 R= Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = Find the radius of convergence, R, of the series. xn n469 n = 1 R= Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) = Find the radius of convergence, R, of the series. Ü (x – 9)"...
Use the limit convergence test to determine if the series converge or diverge: Sněl by 5n + 1 3n2 comparing to (Section 9.4) Section n
Test for convergence or divergence of the series and identify the test used. In(n) n n = 2 O diverges by the Direct Comparison Test O converges by the Direct Comparison Test O converges by the p-Series Test O diverges by the p-Series Test Determine the convergence or divergence of the series. (If you need to use co or -, enter INFINITY or -INFINITY, respectively.) 00 į (-1)"(4n – 1) 3n + 1 n = 1 4n - 1 lim...
(1 point) In order to determine the convergence or divergence of the series (-6)" (na +5n) 51+1 we calculate the limit I needed to run the Ratio Test. Which of the following values would we get? 6 A. L 25 OBL= 00 -6 C. L 25 OD.L=0 E. L 6 5 OF. the limit L does not exist.
(1 point) Test each of the following series for convergence by the Integral Test. If the Integral Test can be applied to the series, enter CONV if it converges or DIV if it diverges. If the integral test cannot be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the Integral Test cannot be applied to it, then you must enter NA rather than CONV.) CONV...
est the series below for convergence using the Ratio Test 21 n! he limit of the ratio test simplifies to lim lf(n) where Preview Preview The limit is: (enter oo for infinity if needed) Based on this, the series Diverges Converges Test the series below for convergence using the Root Test. 22 E 2n +4 5n + 6 R=1 The limit of the root test simplifies to lim f(n) where 100 f(n) = Preview Preview The limit is: 1 (enter...
Find the interval of convergence for the series. (Enter your answer using interval notation.) 4n + 1 (-1)" +1 (5x) (2n + 1)! n = 0 (-00,00) Find the radius of convergence for the series. R = 4. [3/6 Points) DETAILS PREVIOUS ANSWERS Find the interval of convergence for the series. (Enter your answer using interval notation.) зах? n = 1 n 1 1 3'3 :) Find the radius of convergence for the series. R =