Functions and Continuity
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Formal definition of the limit of a function at a point x = a
Equations are omitted for technical reasons - download the original pdf
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.]
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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
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