MATM1534
2.5 Continuity
Definition
•
Example 1
•
Example 2
•
Definition
•
Definition
A function is continuous on an interval if it is continuous at every point
in the interval.
Example 4
•
Definition
•
Theorem (Substitution property of 2.3)
•
Example 5
•
Theorem
The following functions are continuous at every point in their respective
domains:
1. polynomials
2. rational functions
3. root functions
4. trigonometric functions and inverse trigonometric functions
5. exponential functions and logarithmic functions
Example 6
•
Theorem
•
Example 8
•
Theorem
•
Example 9
•
The Intermediate value theorem
•
Example 10
•