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A sequence {adagl is an ordered list of numbers. Thinks of as
{an}?=1 = {01,02,03: a4, - -
goes on forever 1T .
You can also think of a sequence as a fun
INTEGRAL TEST
recall If cfw_xn nN is a non-decreasing sequence (i.e., xn xn+1 ), then either cfw_xn nN is bounded above, in which case limn xn exists or cfw_xn nN is not bounded above, in which case limn xn = . positive-term series Denition: Explore: Let
SEQUENCES
A sequence cfw_an is an ordered list of numbers. Thinks of as n=1 cfw_an n=1 = cfw_a1 , a2 , a3 , a4 , . . . goes on forever . You can also think of a sequence as a function f : N R with f (n) = an . Def 11.1.1: limit of a sequence (intuition)