Question

by cleal.) - University of Toro... Careful: One of these series might trick you. Version 1: a) n=1(-1)" exp(1/n) 100 b) Lin=2 log(n)2 1 ay L" (cosc) - 1) Version 2: a) 7 a) Zin=2 n log(n) (-1)"

Answer 1

(a) that cas” exP (X) => 11 = 2 exp(*) n=1 nGR. Let nuen 1 Lend ysts - h2, h= & h is divergent en is n=1 divergent of hexP(x) is not convergent It exp(x) +0=1 570

11 h=2 log (3,2 Ez a logh Let lognn &HEN ön Zoldogs {o is divergent so of is divergent - 2 Let in conti ihti Unti un so by Leibnita test & nEN series is Convergent (d) {cos (+)-1]

@ IT Swiss 二 so there is convergent then 2 [cos (+) -1 ] is convergent ca h=2 halogn gawings is to dogno

Here and Unti Cum nigh 5(Ф.96) so 5 is. Covergent h=