Functions and Continuity DOWNLOAD FREE

Formal definition of the limit of a function at a point x = a A function [Equation goes here - download the original pdf to see it.] tends to the limit l as x gets closer and closer to a if, when e is a given positive number, however small, a number [symbol] can be found, depending on e such that [Equation goes here - download the original pdf to see it.] This is abbreviated to [Equation goes here - download the original pdf to see it.] The following graph illustrates this definition. [Diagram goes here - download the original pdf to see it.]

Contents of Functions and Continuity 1 Functions 2 Graph 3 Inverse of a Function: monotone increasing or decreasing functions 4 The reciprocal function - singularities 5 Functions defined piecewise on their domain 6 Limits 7 Formal definition of a limit 8 Formal definition of the limit of a function at a point x = a 9 Informal arguments 10 Continuity 11 Combining limits 12 Quotients 13 Image set 14 Inverse image 15 Odd and even functions

Related articles: (1) Stationary points, higher derivatives and curve sketching, (2) Limiting processes