jestigate whether the following series converge! of 1 log k ok log k' L K2 IM
(1) Determine whether the following series converge or diverge: (a) - ke-k2 (b) k=1 n2+39 1 (c) } + 4 + 1 + i +.
Question 6 (20 points). Determine whether the following series converge or diverge, and by which test: o arctan(k) k-0 oo ok k! k-0 Question 6 (20 points). Determine whether the following series converge or diverge, and by which test: o arctan(k) k-0 oo ok k! k-0
(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
complex variables 22. Prove that the series log (1 + a) and ma, converge absolutely in a simulta- neous manner. Suggestion. This is an immediate consequence of the fact lim log (1 + z) = 1. z 23. If bebat
Determine whether the following series converge or diverge.
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...
1. (40+40+40) Determine whether the following series converge and identify the tests used to reach the conclusions. The tests in earlier sections should also be considered. Στάρι ΣΕ Σ-y»24). k=1
State whether the following series converge absolutely, converge conditionally, or diverge. Clearly state the reasons for your answers 2n (a) 3n 72
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...