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1-Section 11.2: Calculus
1-Section 11.2: Calculus
18
Mathematics
Undergraduate 1
08/22/2016

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Cards

Term
What is the solution to this problem?:

A graph is provided with disconnected lines

lim f(x) = ?
When x approaches (A^-)
---------------------------
Definition
1.) Find the function that approaches "A" from the left.
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2.) The solution is the y-value of the open hole point of the function.
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Term
What is the solution to this problem?:

A graph is provided with disconnected lines

lim f(x) = ?
When x approaches (A^+)
---------------------------
Definition
1.) Find the function that approaches "A" from the right.
-------------------
2.) The solution is the x-value of the open hole point of the function.
------------------------
Term
What Does This Mean?
lim f(x) = ?
When x approaches (A^+)
------------------
Definition
The function approaches "A" from the right. The open hole point of the function is located where x="A".
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Term
What Does This Mean?
lim f(x) = ?
When x approaches (A^-)
------------------
Definition
The function approaches "A" from the left.The open hole point of the function is located where x="A".
----------------
Term
What is the solution to this problem?:

A graph is provided with connected lines

lim f(x) = ?
When x approaches (A^-)
---------------------------
Definition
1.) Find the function that approaches "A" from the left.
-------------------
2.) The solution is the y-value of the open hole point of the function.
------------------------
Term
What is the solution to this problem?:

A graph is provided with connected lines

lim f(x) = ?
When x approaches (A^+)
---------------------------
Definition
1.) Find the function that approaches "A" from the right.
-------------------
2.) The solution is the x-value of the open hole point of the function.
------------------------
Term
What is the solution to this problem?:

A graph is provided with connected curved lines, with a solid point

lim f(x) = ?
When x approaches (0^+)
---------------------------
Definition
1.) Find the function that approaches "0" from the right.
-------------------
2.) The solution is the y-value that the curved line intersects when crossing the y-axis.
------------------------
Term
What is the solution to this problem?:

A graph is provided with connected curved lines, with a solid point

lim f(x) = ?
When x approaches (A^-)
---------------------------
Definition
1.) Find the function that approaches "A" from the left.
-------------------
2.) The solution is the y-value of the open hole point that is located where x="A" on the graph.
------------------------
Term
What is the solution to this problem?:

A graph is provided with connected curved lines, with a solid point

lim f(x) = ?
When x approaches (A^+)
---------------------------
Definition
1.) Find the function that approaches "A" from the right.
-------------------
2.) The solution is the y-value of the open hole point that is located where x="A" on the graph.
------------------------
Term
What is the Solution to This Problem?:
((sqrt (x)-(A^2)))
lim f(x) = A
----------------
Definition
0
-----------
Term
What is the solution to this problem?:

lim ((Ax+B)/(Cx+D)) = ?
When x approaches infinity
--------------------
Definition
The Solution is
A/C
---------
Term
What is the constant rule?
(When x approaches 0)
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Definition
When x approaches infinity

lim "A" = "A"
------------
Term
What are the Sum and Difference Rules?
(When x approaches 0)
-------------
Definition
When x approaches infinity for all limits

lim [f(x)(+or-)g(x)] =
lim f(x) (+or-) lim g(x)
--------------
Term
What is the Product Rule?
(When x approaches 0)
-----------------
Definition
When x approaches infinity for all limits

lim [f(x)*g(x)] =
lim f(x) * lim g(x)
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Term
What is the Quotient Rule?
(When x approaches 0)
------------
Definition
When x approaches infinity for all limits

As long as g(x) doesn't equal 0

lim [f(x)/g(x)] =
lim f(x) / lim g(x)
--------------
Term
What is the solution to this problem?
When x approaches infinity
lim ((Ax^3)+Bx-C)/((Dx^4)-(Ex^3)-(F))
----------------------
Definition
0
--------
Term
What is the solution to this problem?:
When x approaches infinity
lim (A/(Bx^2))
---------------
Definition
The Solution is:
0
------
Term
What is the solution to this problem?:
When x approaches negative infinity
lim ((Ax/x-B)-(Cx/x+D))
-----------------
Definition
A-C
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