(3)
we are given
we can expand it
First term is
Common ratio is
Since,
so, this series is divergent......Answer
(4)
we are given series as
we can expand it
First term is
Common ratio is
now, we can find sum
First term is
Common ratio is
now, we can find sum
now, we can find sum
..............Answer
#3 n-1 Determine whether the series 2 35 n=1 converges or diverges. If it converges, find...
00 Determine whether the series 2" +5" 6 converges or diverges. If it converges, find its sum. n=1 Select the correct answer below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is the sum of two geometric series, at least one with In 21. The series converges because it is the sum of two geometric series, each with (r< 1. The sum of the series is OB (Simplify your answer.)...
8-31 Determine whether the series - converges or diverges. If it converges, find the sum. (If the quantity diverges, enter DIVERGES.) Son 8-31 n=1 - = nsion Determine whether the series converges absolutely, conditionally, or not at all. (-1) - 1 n1/2 n=1 The series converges absolutely. The series converges conditionally. The series diverges. For which values of x does (n + 4)!x converge? n = 0 (-0,00) (-1,1) O no values exist O x = 0 (-4,4) Find the...
Page 13 of 15 Previous 13) 00 Determine whether the series m converges or diverges. n1 a) Diverges b) converges Both converges and diverges d) No test is applicable 1) Determine whether the sequence converges or diverges. In case of convergence find its limit. n + 2 Converges, lim = 8 b) Converges, lim = 7 Converges, lim - 4 d) Diverges
Determine if the series converges or diverges; if the series converges, find its sum 3 [(-1)-1 7 nu OA Converges; 1/6 OB Converges; 3/8 OC Converges: 1/2 C D Diverges: -00 of Converges: 1/8
(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
1. Determine whether the series converges or diverges.$$ \sum_{k=1}^{\infty} \frac{\ln (k)}{k} $$convergesdiverges2.Test the series for convergence or divergence.$$ \sum_{n=1}^{\infty}(-1)^{n} \sin \left(\frac{3 \pi}{n}\right) $$convergesdiverges
(1 point) Determine if the following series converges or diverges. Note: If it converges, consider whether it is geometric or telescoping and enter its sum. If it diverges, enter divergent. 00 Σ 19 n(n + 2)
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 00 k=1 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction.) OB. The series diverges.
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 00 k-1 k= 1 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction) B. The series diverges.
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 00 Ik-1 k=1 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction.) O B. The series diverges.