Mathematics SSE

4.0. Introductory Activity 4

Activity 4.1.1

4.1.2 Limit of a function

Activity 4.1.2

Application activity 4.1

1. Apart from the Kingdom of Lesotho, give two examples of countries or Cities 

in the world that are surrounded by a single country or city.

2. Give three examples of intervals that are neighbourhoods of -5

3. Is a circle a neighbourhood of each of its points? explain your answer. 

4. Draw any plane and show three points on that plane for which the plane is 

their neighbourhood.

4.2 One-sided limits, existence of limit and properties 

4.2.1 One-sided limits, existence of limit

Activity 4.2

Consider the graphs of two functions f(x) and g(x) plotted below:

4.3 Limits of functions at infinity and involving infinity, indeterminate cases 

4.3.1 Infinite limits

Activity 4.3.1

4.3.4 Indeterminate forms in irrational functions

Activity 4.3.4

What is the conjugate of the irrational expression in each of the following 

functions?

4.4 Graphical interpretation of limit of a function

Activity 4.

4.5.2 Asymptotes to curve of a function

Activity 4.5.2

4.6 Applications of limits in real life: Solving Problems involving limits

Activity 4.6