5ln(n) In(3n) converges or diverges, if it converges, find its limit. 1.- Determine if the sequence b

V2 + VSn prove that s, converges, and that s, < 2 for n = 1, 2, 3, . .. NOTE: To show that a sequence converges we must show that is it monotone and bounded. 1. If s1 = v2 and sn+1 =

Vn² +1 - Prove that the sequence {an}n=1 ={ converges by following the following sequence of steps. n=1 Prove that {a,} is bounded. n=1