Which of the following series diverges? n +2 2n -1 n1 n+3 O A. 2 B. O C. 1,3 O D. 1, 2 OE. 2, 3 F. None O G. O H. 1,2,3 Find the sum of the series A. B. OC. 1/10 D. 1/2 3/2 3/4 OE. 1 F. 5/12...
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
Pt 1 pt 2 pt 3 pt 4 Please Answer every question and SHOW WORK! Determine whether the series n-1 Σ (2n)! 2". (2n! converge or diverge 1. both series converge 2. only series II converges 3. only series I converg es 4. both series diverge Determine whether the series 2! 1515.9 1-5.9-13 3! 4! 7m 1.5.9..(4n -3) is absolutely convergent, conditionally con- vergent, or divergent 1. conditionally convergent 2. absolutely convergent 3. divergent Determine which, if any, of the...
a,b,c and d (-1) 4. (3 points each) Consider the series n° +2n +3 (a) Prove that this series converges absolutely. (b) Show that this series satisfies all three conditions of the Alternating Series Test. HI11-2212, JL ILG-2020 Test #3 (c) What value of n guarantees that the partial sum 8, approximates the sum of this series to within an accuracy of 0.01? (d) Find the sum of the series with this accuracy (by finding the appropriate partial sum sn,...
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...
2. (a) Show that the series sin "2n Sman 1 ) converges n = 1 (b) Find an estimate of the magnitude of the error if the sum of the series is calculated by summing up the first 20 terms of the series. [4+3=7 pts]
- 8) Find the interval of convergence for the following power series: no (n+1)(n+a) no (2n)!" 9) Using f(x) = 8 X = 1 hod a power senes representation for the no 1-X given Anchons (a) f(x) = 2 b) 60) = 1 C) KW) = Orctan (x). I 4- 3x3 +3x² 10) Find the taylor polynomial of degree for the fonction f(x) = V15+x. LÔ 0 - 1 = | b) If n o ano then Ean converges True...
(1 point) Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't have limit zero B. Divergent geometric series C. Divergent p series D. Integral test E. Comparison with a divergent p series F Diverges by limit comparison test G. Diverges by alternating series test 1. 2. n ln(n) cos(nT) In(4) 02n 3 (n182 +1)" 2n (1 point) Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't...
1. h(a) = -a2-a g(a) = 2a+1 Find (h-g)(-4) 2. f(n) = 2n +4 g(n) = 3n-1 Find (f+g)(-3)
Consider the following series and if convergent, find their sums: a.) b.) n=1 to ∞ 24/n(n+3) c.) We were unable to transcribe this imageDetermine whether the series is convergent 3 m243) O convergent O divergent If it is convergent, find its sum. (If the quant 5. -/4 POINTS SCALCCC4 8.2.034. Consider the following series. (n+1) (a) Determine whether the series is converge O convergent divergent (b) If it is convergent, find its sum. (Otherwise 50. 3 Calendar Calculus II: Homework 3A......
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for your answers. (nl)2 n-1 (b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for...