MATH 232 Lecture Notes - Lecture 10: Tfo
Document Summary
Def given a sequence fan3nf the sum an infinite series of its items is which we write a n. It ly t t t fo t j t. How to add infinitely many tf"s ci e 213 seauenceaf terms an series. I tug fo s t th t f t fo t zt. Def the partial sums of an is the sequence. 7an concierges if the sequence of partial sums converges to a finite i e if ntimosn l then egan l. There are associated with a sequence of termsfan an n i. Section to 2 i sequences y s3 z gsa s as n. Goat calculate limits of sequences let fan be a sequence boundedat if there is an m if an e m for everyn. It is bounded below an z m for every n bounded if bounded above below. 3,303 o 03 is bounded between 0 cnan 3 for all n.
