Question

For each of the following sequences, find the limit of the sequence and then say whether the sequence converges or diverges. Show your work (1) {an} = {()" - 5} (2) {an} = {In (2 - 5)}

Answer 1

CD on = ) 4-5 D- 0 n 100 the song and Store (0)" - 5 [:linn" =0 lim an=0-5 Here, r= 3 2 <1] When tolle no & lim an=-5 nyo un 000 Since, lim fan} is a biaite numbep. .:f any is convergent and converge to -5 @ an = ln (2-) Un no nea L 100 entre out and a large in (2-toa) there is an = ln (2-hien tho). [order thro] the cor an = ln (2-0) A hiyo an = tn (2) since, lim f an} is a binite numben. na fan is convergent and convenge to 6(2)