Limits
What is a limit?
The value a function approaches
Define continuity
No breaks, holes, or jumps
A Hole is what kind of discontinuty?
Removable discontinuity
What is the limit as x→2 of f(x)= x^2 ?
4
What is a quick test to see if a graph is a function?
The VERTICAL LINE TEST
A Vertical asymptote occurs most often when a denominator of a fraction is....
ZERO
lim x→0 of f(x) = x/x
1
What type of discontinuity has a hole in the graph?
Removable
A jump in the graph is known as a .......... ?
(two words)
NONremovable discontinuity.
When does a limit not exist?
When the limit from the left ≠ right
A Jump Discontinuity occurs when we observe this about the limits....?
The limit approaching from the Left
is NOT Equal to
The limit approaching from the Right
A Continuous graph can be drawn without....... ?
Lifting your pencil.