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. ...
etermine whether the following series 1. absolutely convergent /--2. divergent O3. conditionally convergent Submit answer Tn is absolutely convergent, conditionally con- vergent, or divergent. etermine whether the following series 1. absolutely convergent /--2. divergent O3. conditionally convergent Submit answer Tn is absolutely convergent, conditionally con- vergent, or divergent.
(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
State whether the following series converge absolutely, converge conditionally, or diverge. Clearly state the reasons for your answers 2n (a) 3n 72
12. For what values of r does the series (2n)!r" 22n(n!) converge absolutely? converge conditionally? diverge? n=1
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2 (b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
Does the series (-1)" (n + 2)" ? converge absolutely, converge conditionally, or diverge? (5n)" Choose the correct answer below and, if necessary, fill in the answer box to complete your choice O A. The series converges absolutely because the limit used in the Root Test is OB. The series diverges because the limit used in the nth-Term Test is different from zero, OC. The series converges conditionally per the Alternating Series Test and because the limit used in the...
Determine whether the following series is absolutely convergent, conditionally convergent, or divergent. (–1)n-1((In n) 2n (3n+4)n • State the name of the correct test(s) that you used to reach the correct conclusion. • Show all work. • State your conclusion.
4. For each of the following series, determine whether it is absolutely con- vergent, conditionally convergent or divergent. Justify your answer by stating which test you are using and by showing all cal- culations. a) Enzo b)-2 nd -mes c) L=1 (1+1)^2 d) Lo(-1)…Vn
5. B and C is convergent, expressing your answer in in- terval notation. 1. (-0,0) 006 10.0 points Determine all values of p for which the series 2. p = {0} MP In m 3. 0.00) converges. 1. p > 2 4. (-0,00) 5. (0,0) AV V 009 10.0 points Determine whether the series 5. p < -2 § (-1)-1sin (1) 6. p > 1 is absolutely convergent, conditionally con- vergent or divergent 007 10.0 points Find the smallest number...
1. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. a) (-3) * 2. (2n + 1)! b) (2n)! 2 (n! 2. Find the radius of convergence and the interval of convergence.