Question

conditionally (if any), or diverges. 1. Determine if each series converges absolutely or In n (c) (v-1) (a) (b) 4 7-3 In n In( In n) n-2 (-1)+1 (1)" Inn 1 (d) -2 Vn-n2 +n-1 (e) In n -1a 1 For (f the sequence (a) satisfies a1 a2 1 and a+2 an+ 1 +a for all n 1. This sequence is called the Fibonacci sequence named after the Italian mathematician Leonardo Fibonacci [fibo 'nattfi] (c. 1175-c. 1250) who introduced the sequence in his famous book Liber Abaci (Book of Calculation)

Answer 1

abso lulely comvergent, 3 abtolulély convesgent (b) 3n bselulely convesant is Cd) 20 mdikinaly Cemveigent aleukely eonrengnt Ce) n Cn) irplanakonds la) oo (). (n) +D 2 companatle hith Cd). and 31 tafthe Convergence lan e get condikmal eonvergence . aler naking od. and ^dhverges b diver ges b 2nt Gnt Hence fence ns conrergent Arrteue daries