**Properties of limits**

**The properties of limit show how to calculate the limits of a combination of functions like the sum, the difference, the multiplication and division of functions. It shows also how to calculate the square root of a function.**

**Properties of continuous functions**

**Methods for determining limits**

**There are three methods that can be used to determine a limit. These methods are: graph, table and algebra. The graph method consists in determining a limit from the graph. The table method consists in calculating the limit to the left and to the right by drawing a table for each one-sided limit. The table allows to see the behavior of the values of f(x) as x gets closer and closer to a fixed value. From there we can conclude if the limit to the right or to the left exists. If the limits from both sides exist and are equal then the limit of the function exists at the given value. The algebra method consists by substituting the value of the independent variable in the function.**

**Method for determining if a function is continuous**

To determine if a function is continuous, we find out if it satisfies the three following conditions:

1) It is defined at a specified point "a"

2) The limit at the point "a" exists

3) The limit of the function at the point "a" is equal to f(a).

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