Sequences
Subject:
CALCULUS BC NOTES: SEQ 11.1 (revised 2010) SEQUENCE: a list of numbers OR a function whose domain is the set of positive integers FIND FIRST 5 TERMS OF EACH SEQUENCE: 1) 2) 3) LIMIT of a SEQUENCE: (p 695) If where L is a finite number, the sequence CONVERGES. If no limit, the sequence DIVERGES. THEOREM: If (p 696) [Sec 11.1: p 2] FIND THE LIMIT OF EACH SEQUENCE. TELL WHETHER SEQUENCE CONVERGES OR DIVERGES. 4) 5) INCREASING/DECREASING SEQUENCES: increases if for all n decreases if for all n BOUNDED SEQUENCE : (p 700) Above: for all Below: for all [Sec 11.1: p 3] MONOTONIC SEQUENCE: always increasing or always decreasing
