Class Notes 9/23 EG
Tuesday, September 29th, 2009-All polynomial functions continues
-Trig functions continues
-Piecewise may be continues
-Rational functions may not be continues
-Continues if:
f(c) – exist
lim(x) – exist
f(c)= lim f(x)
-All polynomial functions continues
-Trig functions continues
-Piecewise may be continues
-Rational functions may not be continues
-Continues if:
f(c) – exist
lim(x) – exist
f(c)= lim f(x)
Quiz Clarifications
Question #1
Continuity (at point c)
Cusp
a cusp is a singular point of the curve.
(http://img.photobucket.com/albums/v48/punkdbaby/limits5.jpg)
NO DERIVATIVE AT A CUSP
Step Discontinuity
(http://www.mathwords.com/s/s_assets/s157.gif)
Removable Discontinuity
Asymptote
NO LIMIT
(http://jwilson.coe.uga.edu/EMT668/EMAT6680.Folders/Barron/Write-ups/Assignment%201/Figure4.gif)
Homework for next class
pg 58-59
23, 27, 31, 37, 41, 49, 55, 57, 65, 67, 70