6. State and prove divergence or convergence for each of the following series. a. f. 3"...
state and prove divergence or convergence for each of the following series. f. 5 nn |(n+3) n= ln 00 g. (2n-1) (n!) n=1 h. į vn + cos n n n=1 i. 2"n? n!
State and prove divergence or convergence for each of the following Series. (please answer all of them in clear writing) a. 3" Vn cos(ien) b. Å vn cos n+1 n=1 c. Ën+2 n+2 nn n=1 2" n! d. 11 n=1 3"n! e. 12
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...
Please answer a, c, e 7.1. For each of the sequences, prove convergence or divergence. If the sequence converges, find the limit. (c) an = cos(n) (e) an = sin(1) (b) an = (-1)" (d) an = 2 – 2.izza (a) an = e in
6. One of the following series converges and one diverges. Determine the convergence/divergence of each series. State which tests that you use. 3n Σ 3" nn n=1 n=1
cos (6) 3. Determine the convergence divergence type of the series (a) The series diverges conditionally (b) The series converges both absolutely and conditionally (c) The series diverges (d) The series converges conditionally (e) The series converges absolutely
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)!...
Problem 1 convergence test used. Discuss convergence or divergence of the series. If convergent state the (a) ¿ In(n) In(n) In(n) + 2 n=1 (b) 2 (c) n!
Problem 6. (1 point) In order to determine the convergence or divergence of the series (-3)" (n+ 3n) 2+1 we calculate the limit L needed to run the Ratio Test. Which of the following values would we get? A. L 3 4 B. L=0 O c. L=0 O 3 D. L = 6 E. L ته اتہ F. the limit L does not exist.
(1 point) In order to determine the convergence or divergence of the series (-6)" (n2 + 6n) 51+1 n=1 we calculate the limit I needed to run the Ratio Test. Which of the following values would we get? -6 A. L 30 6 B. L= olo olio C. L D. L= 0 E. L=0. F. the limit L does not exist. (1 point) Given that a function f(x) has a tangent line at x = 2 given by y =...