Show all work. If a series diverges, write “diverges" in the box. 7. 17 17 k+2...
Show all work. If a series diverges, write “diverges” in the box. 6. Evaluate: $ xet da 7. Σ 17 k + 2 17 k +3 k=1
Show all your work. If a series diverges, write "diverges” in the box. Evaluate: 4. (2x + 3)3+2+30+2 d. 3k 5. WIE (Hint: careful with indices!)
please show all work Use any method to determine if the series converges or diverges. Give reasons for your answer. n! Σ (2n + 3)! n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series diverges because the limit used in the nth-Term Test is OB. The series converges because the limit used in the Ratio Test is O c. The series converges because the limit used in the nth-Term...
Use an appropriate test to determine whether the series given below converges or diverges. Show all work needed to support the conclusion of convergence or divergence. State all tests used. Give any values of "r" or "p" or limits used. (n+7)(n+3) n = 1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges. OB. The series diverges.
please show all work.. Determine whether the following series converges. Justify your answer. 00 14 k พ 14k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. B. The Root Test yields p = so the series diverges by the Root Test. C. The Ratio Test...
please show all work Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
Determine if this series Converges Absolutely, Converges Conditionally, or Diverges, Please show all work and explanations. n=2
Given the series: 9 k k=1 does this series converge or diverge? converges diverges If the series converges, find the sum of the series: k Preview (If the series diverges, just leave this second box blank.)
Section 2: Short Answers For each of the following questions, write the answer in the box provided Note: If you are asked to evaluate a series that diverges, write “diverges” in the box provided. (Work required!) 1. Evaluate: lim 9(0.9999)k k+00 Evaluate: lim,40 tan(t) 2. (You may use the table for Taylor Series for this prob- lem).
Determine whether the series converges or diverges (show your answers in detail). -5k 2 + k = 1