Determine whether the following series converge or diverge. Fully justify your answer. T(-1)"(n? – 2n) 400n3...
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...
1. Determine if the following series converge or diverge. If they converge give the value of the series. q-n+24n+1 n=1 37n 2N=14+4n 2 72 C. 271 1. Determine if the following series converge or diverge. If they converge give the value of the series. q-n+24n+1 n=1 37n 2N=14+4n 2 72 C. 271
7. Determine whether the following series converge or diverge. Show your work for full credit. State the test you use and show the reasoning that allows you to use that test. a) o ni+sin(n) a 2n=1 4+2n-1 Joo 52n+3 c) c) n=1 (2n)!
2 Determine whether the following the following sequences converge or diverge. If it converges, find the limit. (a) an = cos () 2n (b) a = In 2n + 1 3 (a) Does Î- (-)" converge or diverge? If it converges, find its sum. n=1 (b) Show how > 41-13-" can be written in the form of a geometric series. Does it converge or diverge? If it converges, find its sum. n=1
2. Determine whether the following series converge or diverge. a.) 1 iMiM8 n-3 (n + 2)n +5 tan(n) n2 + 1 00 b.) N=1
(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).
Q3: determine wither the following series are converge or diverge το In(m2+3) n!.Inn a) 2n=1 (n+3) n(n+2)! (12 point) c) Στο Σ=2 8 b) Σ=1 d) Σή το In(m) (3+ (352η 3 (m)2
Determine whether the following series converge or diverge.
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
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