-Separated into groups and studied for the quiz
-Went over Pg. 49 Example 1: Proved the Limit Theorems and went over how to plug a hole in a function by factoring.
-Went over Synthetic Division: See handout
-Did Quiz
-Work after Quiz/Homework: Pg 60 #70 and Exploration 2:5
-Passed back quizzes
-Went over factoring
- Learned about continuity of a function
Factor Rules:
Justifying Graphical Methods for Finding Limits (by factoring):
to solve for above you can use factoring OR synthetic division
Continuity:
Function f is continuous at x=c if and only if:
1) f(c) exists
2) limit f(x) as x approaches c exists
3) f(c) = limit f(x) as x approaches [...]
We discussed the homework, did Exploration 2-2, and used the delta-epsilon applet online (on Mrs. Evrard’s webpage).
Informal Definition of Limit – The limit of a function f as x approaches c is the y-value f(x) stays close to when x is kept close enough to c but not equal to c.
Shortened Definition of Limit -
[...]
epsilom-a number, the error margin for f(x).
If you can find a delta for any value of epsilom close to c and in the error margin, then there is a limit.
What I have learned about this topic is what the difference is between an epsilom and a delta. I learned that the epsilom is related to [...]
Trapezoidal Rule:
Trapezoid Program:
*Must have a function in Y1 to work!
L= lower limit. At what X value does the trapezoid start?
U= upper limit. At what X value does the last trapezoid end?
N= number of trapezoids.
The more trapezoids you have, the closer you get to the limit, and the better the approximation.
Limits:
L is the limit of a [...]
