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12. Determine whether the following series converge or diverge. (a) (b) 2-nzn-1 4n n=0 n=1 4n...
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
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...
Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n
(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).
2. (28,9) Do the following series converge or diverge? SUPPORT YOUR ANSWERS. You do not have to find the sum. 7n2 - 3n A. Σ ? 2n? +7n +1000 cos(NA) B. IM Vn C. 2*32-
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
Question # 5. (8 marks) Determine which of the following series converge and which diverge (don't forget to state the tests from class that you are using!). If any of the convergent ones can be evaluated by the techniques we have learned in class, you should give their value as well. 4 + 3n" + 7n +2 In(In(n)) (1) Σ 3n13 - 2n° +58 +n +3 4n In(n) (ii) 16
Determine whether the following series converge or diverge. Fully justify your answer. T(-1)"(n? – 2n) 400n3 + 78972 2
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
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...