MAT136H1 Lecture 23: Sequences

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: Anthony Lam

Document Summary

= { 1 n+2: fibonacci sequences: a 1 = 1. 1 n 1 n=1 n = a n 1 + a n 2 for all n>2. { n n=1 well defined/exists is said to converge if the limit, lim n a n = l or where the limit is. If not the sequence is said to diverge converges because lim n n+2 = 0. Let (x) lim n ln n a n = n f f. = l and a n = f (n) { n n=1 converges or diverges. ln x > 0. 1 lnx = lim x x 1 ln n . { n b n n=1 converges if lim n a + } }{b n n=1 p (a ) } n n=1 converges if p>0 a b } { n n n=1 n / 0 n a n c n for all n>n and. 1 s in(n) sin(n) n.