2. Determine whether the following series converge or diverge. a.) 1 iMiM8 n-3 (n + 2)n...
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...
2. Use the limit comparison test to determine whether the following series converge or diverge. n Α.Σ 2 + n3 n=2 2n3 - n B. S 3n5 + 2n2 + 1 n=1 5" c. S 3" + 2 n= In(n) 1 D. Σ (Hint: Try comparing this to n2 n3/2 n=3 n=3 I MIMO Ε.Σ sin (1) (Hint: Try comparing this to n n=1 n=1
12. Determine whether the following series converge or diverge. (a) (b) 2-nzn-1 4n n=0 n=1 4n (-1)n+1 loge n (c) (d) 7n + 1 n n=1 n=3 iM: M: Mį M8 sinn (e) ✓n n2 + 2 (f) n2 n=1 n=1 2n en (g) (h) Vn! n=1 n=1
3. If the series 2-1 bn is converge, determine whether the series - converge or diverge! 4. A right triangle ABC with the angle at A is and the length of the side |AC|=b. The side CD, EF, FG, etc is perpendicular to AB, while DE, FG, etc is perpendicular to BC as shown below: G E с As you can see the length 1CD to DE, to IEF, to |FG|, etc is getting smaller and smaller. Using the picture...
3. If the series 2-1 bn is converge, determine whether the series - converge or diverge! 4. A right triangle ABC with the angle at A is and the length of the side |AC|=b. The side CD, EF, FG, etc is perpendicular to AB, while DE, FG, etc is perpendicular to BC as shown below: G E с As you can see the length 1CD to DE, to IEF, to |FG|, etc is getting smaller and smaller. Using the picture...
Compare each series below to a p-series to determine whether they converge or diverge. Write your answer using the correct language and format. 2. 11 1 +1 n #18 18 3. 3n + 2 n2+4
(1) Determine whether the following series converge or diverge: (a) Σ=0 η2 n=1 (b) Σ=0 520 και (c) Σ=2 /n ln (η) 2n (4) Σ. sin(1) η2 (e) Σ1 (1) Σ=1 n2-3n+1 ln(η).
(a) Determine whether the series converge absolutely, converge conditionally or diverge k 2 (2 + k3) (k!)3 (3k)! cos kT In k k= 1 k-1 (a) Determine whether the series converge absolutely, converge conditionally or diverge k 2 (2 + k3) (k!)3 (3k)! cos kT In k k= 1 k-1
Determine whether the following series converge or diverge.
All three questions Determine whether the following series converge or diverge. Show your work and explain your reasoning. If a series converges, say what it converges to (if possible). Problem 1. Ln(Inn) Problem 2. n=3 nv n2 - 1 $ (-1)"8" Problem 3. 52n