3n 13. Determine whether the series 22n? -7 con = converges or diverges.
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...
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 whether the series converges or diverges. n = 1 converges diverges
(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
Un=1 n! Q6-7: Determine whether each series converges conditionally, converges absolutely, or diverges. 1 3n2+4 6. An=1(-1)n-1 7. An=1(-1)n-1 2n2+3n+5 2n2+3n+5 Q8: Compute lim lan+1/an| for the series 2 m2 in Q9: Find the radius and interval of convergence for the series 2n=0 n! 1 Q10: Find a power series representation for (1-x)2 (2-43
Determine whether the series converges or diverges. C n44 n3n2 n1 converges diverges Need Help? Read It Determine whether the series converges or diverges. C n44 n3n2 n1 converges diverges Need Help? Read It
Determine whether the series 2 (+ )" 4n converges or diverges. a) diverges b) converges c) cannot be determined
7. Use the ratio test to determine whether the series converges or diverges: n!
Determine whether the series converges or diverges. e8/n n n = 1 converges diverges