(9 marks) Using any methods determine whether the given series is convergent. Give a full explanation....
(9 marks) Using any methods determine whether the given series is convergent. Give a full explanation. a. 2n=1 62n +3n 1 1 b. Too Un=3 x(Inx) 5 c. 2n=1 n(n2-15) (n+2)(4n+7)(6n2-1)
5. (12 marks) Determine whether the given series is convergent, If so, find its sum. a. Σ=4 η2-1 -η 6. Σ. 52 () C. Σ=5 4η νη+100
Determine whether the given series are absolutely convergent, conditionally convergent or divergent. (same answers can be used multiple times) Determine whether the given series are absolutely convergent, conditionally convergent or divergent. (-1)"(2n +3n2) 2n2-n is n=1 M8 M8 M8 (-1)"(n +2) 2n2-1 is absolutely convergent. divergent conditionally convergent. n=1 (-1)" (n+2) 2n2-1 is n = 1
7) Use the Ordinary Comparison Test to determine whether the series is convergent or divergent. Υ n (a) (6) Σ η η 5" 3η – 4 M8 M8 (Inn) 2 (c) η (d) tan n2 n3 η-2 1 (e) Σ (6) Σ 2n + 3 2n + 3 ή-1 1-1
2-15 Determine whether the series is convergent or divergent. 1 2. Σ 1.0001 3. Σ 1-0.00 n=5 η n=1 σο 2 3 4. Σ 5. Σ (1) ده است + ηψη 3 n=1 1 1 6. Σ 7. Σ η=5 (η – 4)? 2n + 3 n=1
Determine whether the series is absolutely convergent, conditionally convergent or divergent. 2"m! (b) Σ(-1)". 5 • 8 • 11 •• (3η + 2) (c) Στ (1 + Ae η =1 1 (- 2)" (-1)" (e) Σ (- 1)"e" (f) Σ (g) Σ (n + 1)! η 1 η 2 mln (2017)
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...
please give all steps Determine, using the ratio test, whether the following series is convergent or divergent 3" (-1)" 2n(n + 1)!
(2) Determine whether the series is absolutely convergent, condition- ally convergent or divergent (4 marks): n! (-1)" Nn n=1
Find the sum of each convergent series. Use scratch paper and put your answer in the corresponding blank to the left of each problem. Evaluate and simplify all answers. 4 (a) και m=3 η 4 (b) k=1 (c) 1 1 + 1 4. 24 +... 1. 2 2. 22 3. 2 12 n=0 1 (d) Σ (-5)" (e) Σ (n-3) (f) Σ (2n+1)! n=4 (-1)" π2n+1 2n+1 η=0 (9) 744 * 10 (h) ΣΑ) (3) 1 - In 2 +...