Question

All three questions

Determine whether the following series converge or diverge. Show your work and explain your reasoning. If a series converges, say what it converges to (if possible). Problem 1. Ln(Inn) Problem 2. n=3 nv n2 - 1 $ (-1)"8" Problem 3. 52n

Answer 1

1. The given series bei 2 2 Let t(a) = 1 lina) 2 sta $(2942 = f*(na) 2-dim mm 5 zámozda is de now het inaaz or, da ada = - te r be the constant of integration 7 I 2-ina te $ scandma. [- tha] = ina = finite Thus, by integral test the given series 5 I be converses no2 nonny2 and it converses to 2. Given series be: . Un be the siven series. there: una nina I

us com siden Žima star wars i na frow lim un = = 1 = finite how the series on the be convergent by Poseries test [276] Then by limit comparison test the series The ninti be convertends

3. Given senies Enon 525 n=4 . 2 where u 5 het 2 e un be the siven, series where uns einen sa unasa scopata na son parte en that women the n 2n som har en uno de hoteles en CA Then Ther: by ratio test the given Į Eignon series be conversent 2n be conversed.