MATH 1B Lecture Notes - Lecture 1: Floor And Ceiling Functions
Document Summary
Math 1b: calculus - lecture 1: overview and intro to sequences. A sequence is an infinite list of numbers such as. 4, 17, 0, 4, 17, 9, 0, . 1, 2, 3, 4, 5, 6, . Formally, a sequence of real numbers may be thought of as a function from the natural numbers to the real numbers. We often write the image of n or an or bn, etc . Let an be the sequence defined by an = 1/n. Note that means epsilon. means an element of means the set of all natural numbers. Suppose that for all > 0, there exists n. Then we say that an converges to l as n converges to . We write lim (n ) an = l or an l as n . , such that if n > n, then | a n - l | < . Note denotes the ceiling function. n < 1/ .
