AP Calculus BC : Estimating Limits from Graphs and Tables
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Example Questions
Example Question #2 :Limits
For the piecewise function:
Any real number.
Does not exist.
The limit
From right to left approaching
The answer is
Example Question #1 :Limits
Given the graph of
Examining the graph of the function above, we need to look at three things:
1) What is the limit of the function as it approaches zero from the left?
2) What is the limit of the function as it approaches zero from the right?
3)什么是函数值为零,这是情商ual to the first two statements?
If we look at the graph we see that as
Therefore, we can observe that
Example Question #4 :Limits
Given the graph of
Does not exist
Does not exist
检查上面的图,我们需要看看3个e things:
1) What is the limit of the function as
2) What is the limit of the function as
3) What is the function value as
Therefore, we can determine that
Example Question #5 :Limits
Given the above graph of
Examining the graph, we want to find where the graph tends to as it approaches zero from the right hand side. We can see that there appears to be a vertical asymptote at zero. As the x values approach zero from the right the function values of the graph tend towards positive infinity.
Therefore, we can observe that
Example Question #1 :Limits
Given the above graph of
Does Not Exist
Does Not Exist
Examining the graph, we can observe that
A value
exists in the domain of
The limit of
exists as
approaches
The limit of
at
is equal to
Given
We can also see that condition #2 is not satisfied because
Based on the above, condition #3 is also not satisfied because
Thus,
Example Question #2 :Estimating Limits From Graphs And Tables
Example Question #1 :Estimating Limits From Graphs And Tables
Example Question #9 :Limits
Example Question #2 :Limits
Example Question #1 :Estimating Limits From Graphs And Tables
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