All Calculus 2 Resources
Example Questions
Example Question #61 : Limits
Given the above graph of a function , what is ?
Examining the graph, we can observe that, as approaches , .
Example Question #62 : Limits
Given the above graph of a function , what is ?
Does Not Exist
Examining the graph, we can observe that, as approaches from the left, .
Example Question #63 : Limits
Given the above graph of a function , what is ?
Does Not Exist
None of the above
Does Not Exist
Examining the graph, we can observe that approaches two different limits as approaches ( and ) , depending entirely on which side approaches from. Therefore, a singular limit does not exist.
Example Question #64 : Limits
Given the above graph of , what is ?
By examining the above graph of , we can observe that as approaches from either side, .
Example Question #65 : Limits
Given the above graph of , what is ?
Does Not Exist
Does Not Exist
By examining the above graph of , we can observe that produces two different values as approaches from either side and . Thus, a singular limit does not exist for this function.
Example Question #21 : Finding Limits And One Sided Limits
Given the above graph of , what is ?
Examining the graph of , we can see that as approaches from either side, .
Example Question #67 : Limits
Given the above graph of , what is ?
Examining the graph of , we can see that as approaches from the left side, .
Example Question #71 : Limits
Given the above graph of , what is ?
Examining the graph of , we can see that as approaches from either side, .
Example Question #71 : Limits
Given the graph of above, what is ?
Examining the graph above, we can determine that as approaches from the left.
Example Question #2 : Limits
For the piecewise function:
, find .
Does not exist.
Any real number.
The limit indicates that we are trying to find the value of the limit as approaches to zero from the right side of the graph.
From right to left approaching , the limit approaches to 1 even though the value at of the piecewise function does not exist.
The answer is .
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