LIMIT LAWS
By:
Christopher Lindbeck
LIMIT LAWS
A set of equations that can be used in situations in which limits need to be combined.
Requires that the limits in question exist.
SUM LAW
The limit of two functions added together is equal to the limit of each of those functions added together.
In other words you can break addition out of a limit by making it two limits.
DIFFERENCE LAW
This works exactly the same for the difference law.
PRODUCT LAW
Wow! The product law is exactly the same!
QUOTIENT LAW
The quotient law is the same as all the other laws as well.
POWER LAW
The Power law is actually just the product law in disguise. All you are doing is multiplying a limit by itself.
EXAMPLE 1
If
a. Lim(f(x) * g(x))
b. Lim(f(x) + g(x))
c. Lim(g(x)/f(x))
d. Lim(f(x) – g(x))
e. Lim(f(x)^2)
and
than find the following limits. a = 3.
a.
b.
c.
d.
e.
EXAMPLE 2
a.
b.
g(x)
PRACTICE PROBLEMS
ANSWERS
1.
8
2.
0.5
3.
4
4.
2
CITATIONS
Graphs:
 Aventalearning.com (left graph)
 Tutorial.math.lamar.edu (Right Graph)
Equation Making:
http://www.sciweavers.org/ - LATEX to image converter