1 3. Determine whether the series 1 k In k converges or diverges. 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
k (1.4) Determine whether the series EV16kº +3 converges or diverges. If it converges, does it converge conditionally or absolutely?
36. Determine whether the series shown below converges or diverges. k-1 3 3 k=1
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. K-1 2 (0)" 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 series converges or diverges. n = 1 converges diverges
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 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
(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
k sin2 k diverges k1 1+k3 1. Determine whether the series converges or divergence -1(-1)"(Vn+1-Vm). 2. Test the series for convergence or
k sin2 k diverges k1 1+k3 1. Determine whether the series converges or divergence -1(-1)"(Vn+1-Vm). 2. Test the series for convergence or
Determine whether the series converges or diverges (show your answers in detail). -5k 2 + k = 1
Determine whether the series 2 (+ )" 4n converges or diverges. a) diverges b) converges c) cannot be determined