Think you’ve got your head wrapped around Limits? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. If
and
, find
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_20.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_21.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_22.png)
0.5
1
2
1.5
3
Q. If
and
, find
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_23.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_24.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_25.png)
-1
0
1
2
5
Q. If
and
, find
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_26.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_27.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_27.png)
6
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_29.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_30.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_31.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_32.png)
Q. If
and
, find
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_33.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_34.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_35.png)
1
2
8
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_36.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_37.png)
Q. Evaluate
.
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_38.png)
0
1
Does Not Exist
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_39.png)
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_40.png)
Q. Evaluate
.
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_41.png)
0
0.5
1
2
Does Not Exist
Q. Evaluate
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_42.png)
0
1
∞
Does Not Exist
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_43.png)
Q. Evaluate l
.
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_44.png)
-6
-2
-1
10
Does Not Exist
Q. Evaluate
.
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_45.png)
-7
-6
0
6
Does Not Exist
Q. Evaluate
.
![](https://media1.shmoop.com/images/precalculus/precalc_unit12_quiz_latek_47.png)
-1
1
Does Not Exist
π
0