Definitions
One-sided Limits
Is it Continuous
Types of Discontinuities
100
Two limits of a function approach a specific point from either the left or the right.
One sided Limit
100
8
100
No
100
Infinite Discontinuity
200
If f is a continuous function whose domain contains the interval [a, b], then it takes on any given value between f(a) and f(b) at some point within the interval
Intermediate Value Theorem
200
Find the limit of when x is approaching -1 from the right
-1
200
Yes
200
Removable Discontinuity
300
A theorem which provides a technique to evaluate limits of indeterminate forms.
L'Hopital's Rule
300
4/5
300
yes
300
Jump Discontinuity
400
A type of discontinuity of functions that occurs at a point where the graph of a function has a hole in it
Removable Discontinuity
400
8
400
No
400
Oscillating Discontinuity
500
A classification of discontinuities in which the function steps from one point to another along the curve of the function, often splitting the curve into two separate section
Jump Discontinuity
500
Negative Infinity
500
No
500
Jump and Removable Discontinuity