Calculus 2 : Finding Limits and One-Sided Limits
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Example Questions
Example Question #71 : Finding Limits And One Sided Limits
Given the above graph of 
Examining the graph above, we need to look at three 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 
Thus, we can observe that 
Example Question #71 : Finding Limits And One Sided Limits
Given the above graph of 
Does Not Exist
Does Not Exist
Examining the graph above, we need to look at three 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 observe that 
Example Question #72 : Finding Limits And One Sided Limits
Given the above graph of 
Examining the graph, we want to find where the graph tends to as it approaches zero from the left hand side. We can see that there appears to be a vertical asymptote at zero. As the x values approach zero from the left, the function values of the graph tend towards positive infinity.
Thus, we can observe that 
Example Question #73 : Finding Limits And One Sided Limits
Given the above graph of 
Examining the graph above, we need to look at three 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 observe that 
Example Question #74 : Finding Limits And One Sided Limits
Given the above graph of 
Does Not Exist
Does Not Exist
Examining the graph above, we need to look at three 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 observe that 
Example Question #75 : Finding Limits And One Sided Limits
Given the above graph of 
Examining the graph, we want to find where the graph tends to as it approaches zero from the left hand side. We can see that there appears to be a vertical asymptote at zero. As the x values approach zero from the left, the function values of the graph tend towards negative infinity.
Thus, we can observe that 
Example Question #76 : Finding Limits And One Sided Limits
Given the above graph of 
Examining the graph above, we need to look at three things:
1) What is the limit of the function as
2) What is the limit of the function as
Therefore, we can observe that 
Example Question #71 : Finding Limits And One Sided 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 negative infinity.
Thus, we can observe that 
Example Question #121 : Calculus Ii
Given the above graph of 
Examining the graph above, we need to look at three 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
Using these rules we can observe that 
Example Question #122 : Calculus Ii
Given the above graph of 
Does Not Exist
Does Not Exist
Examining the graph above, we need to look at three 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
Using these rules, we can observe that 
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