If it is convergent find the limit

2. Determine whether the following sequences converge or diverge. Explain your reasoning. When convergent, find the 1 (a) an = VAn2 - 3 -2n 9 1402 -8+20 lim 3 . Lim Jan2 -3 + 2 um = ( 4132 - 3) - 412 = - (0 - 1) - O so tre umu eactor lim +3 The sequence converge to O an ( To + 1 ) 100 500GO 100500n it diverges (b) an = lim n! because it goes to BDT shows that BE IS greater mr (c) an = (34n+1 43n - 1 3 un . 3 = 30 4 ) 430 . 4" In ( 3) . 40) In | 3( 4) / 3401 it converges to - > 12 lim Inc 4) . 3 n 4 30 12 stings . 4 12 In(3 ) lim In ( 3 ) (85) 7 Inc4) n-75 16/ In ( 47 - Inc3 (d) an = (2n + 5 2n 2 3n+2 (e) an = n n - 3