Find all arties ofp for which the series Σ converges. Find all arties ofp for which the series Σ converges.
how do i solve these questions 1. Consider each series. If the series converges, find the value it converges to. If the series diverges, briefly explain why. (a) 2pt] 232+ 3 9 2 8 (b) [2pt] Σ 2.7m-1 4n n=2 2. Consider Σ(-,--) (a) [2pt] Find a formula for Sn n +3 (b) [1pt] Find the value that the series converges to 3. Consider Σ (5.5 h) (a) [2pt] Find a formula for S (b) [1pt] Find the value that...
102 Tist 2, Phne & of 6 Ma 11, 2019 (10) which of these is true about the series Σ n A. Converges to o B. Converges to C. Diverg D. Converges to F. Comverges to 4 E. Converges to 2 Question 3 (3 points (bonus)) Find all values of p for which the series converges. 102 Tist 2, Phne & of 6 Ma 11, 2019 (10) which of these is true about the series Σ n A. Converges to...
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2 (b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
Use the root test to determine if the following series converges. 12 Σ 4n6 – 6 5n3 – n - - 7 n=1 Using the root test find lim 1200 VI(2) 1 ano 12 And, what can we conclude about the series 4n - 6 5n3 – n - 7 Σ Inconclusive Diverges Converges
Find the values of the parameter p for which the series converges. k= 1 Select the correct choice below and, if necessary, fill in any answer boxes in your choice. O A. The series converges for p (Simplify your answer.) OB. The series converges for p > (Simplify your answer.) O C. The series converges for <p< (Simplify your answers.) OD. The series converges for all p. O E. The series diverges for all p.
find the values of the parameter p for which the series converges. (1-p/k)^k My g Find the values of the parameter p for which the series converges. Cour È ( - )" Assig k=1 Stud Select the correct choice below and, if necessary, fill in any answer boxes in your choice Grad A. The series converges for < p < (Simplify your answers.) OB. The series converges for p > Inter (Simplify your answer.) OC. The series converges for p...
1. Decide if the following statements are true or false. Give an explanation for your answer. (a) If 0 < an < bn and Σ an converges, then Σ bn converges (b) If 0 < an < bn and Σ an diverges, then Σ bn diverges. (c) If bn an 0 andbcoverges, then an converges (d) If Σ an converges, then Σ|an| converges (e) If Σ an converges, then linn lan +1/a (f) Σχ00(-1)"cos(nn) is an alternating series (g) The...
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...
E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above