Alternating Series Test part 2,3Determine whether the following series converge or diverge. You must show that the series satisfies the necessary conditions in order to use the AST. If these condition arent satisfied, you’ll have to use a different test. Alternating Series Test (AST)If the numbers ak satisfy the three conditions:• ak> 0 for all k (each ak is positive)ak > ak+1 ({ak} is monotonically decreasing)• lim ax = 0k→∞then the alternating series Σ (-1) ak converges.k=0 3.2.an88 WΣ(-1)"n=1k=1n=1n3√n³ +2n√n ³+23Σ(−1)kk + 3k+714-1✰2n+1702n11Converges2n+nlimn->∞ √√√n ³+2

The given series, 2. ∑n=1∞-1nnn3+2. 3. ∑k=1∞-1kk+3k+7. We have to check the convergent of each…

Answered: 2. Σ(-1)" 8 n=1 an k=1 n n 3 n³ +2 3.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

Alternating Series Test part 2,3 Determine whether the following series converge or diverge. You must show that the series satisfies the necessary conditions in order to use the AST. If these condition arent satisfied, you’ll have to use a different test.