MATH 1680 Lecture 1: lecture_2
Document Summary
Math 1680-80 lecture 2 notes: 2. 4/2. 5. Recall: logarithmic with base a of x equals b if ab = x. Note log2 16 = 4 (because 24 = 16) log2 x + log2 y = log2 x y. The limit of f (x) at x = a is number l if f (x) can be taken as close as we wish to l by taking x su ciently close to a. no limit. Math 1680-80 lecture 2 notes 2. 4/2. 5 x 0+ x 0 . Remember that of a question is asking a number value and you nd the answer to be in nity, there is no limit. Examples lim x 0 x3 = close to zero close to zero lim x 0 x3 + x + 1. Notation: lim x a+ f (x) = l (from the right) We also consider lim x + lim f (x) lim x x3 + x + 1.
