Question

Use a convergence test of your choice to determine whether the following series converges or diverges. 0 Σ ke 5k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) A. The limit of the terms of the series is This is not 0, so the series diverges by the Divergence Test. B. The series is a geometric series with common ratio This is greater than 1, so the series diverges. C. The Ratio Test yields r= . This is less than 1, so the series converges by the Ratio Test. D. The series is a geometric series with common ratio This is less than 1, so the series converges. E. The Ratio Test yields r= . This is greater than 1, so the series diverges by the Ratio Test. OF. The limit of the terms of the series is so the series converges by the Divergence Test.

Answer 1

ke 5k kel -5R let ak ke 2 K e5k akti KAI 5k+5 By using Ratio Test lt Kto Akt) ak lt KAN KA Skes xest K 2와 I X (1+2 ☆ (1+ Kes 2 1 hos <1 © The Ratiotest yields to e so the series converges by the Ratio Test = 0.007 1 21. AK- ki e5k (F lim ktoo aka lim k FO KAD esk the line of the terms of the series is to so the series converges by the Divergence Test