Week 6 Test - Grade: 100%
Instructions:
Click on “Start” to begin the Test.
This Test may be printed by clicking the Print icon at the top of the Test window AFTER starting the Test.
We suggest you work out the answers on the printed Test, then submit your answers online.
THIS IS A TIMED TEST. YOU HAVE 3 HOURS TO COMPLETE THE TEST ONCE YOU CLICK "START." You can start and stop the Test if you
need to; however, the time will continue to elapse. You can also skip questions and go back to them as needed during the test. Use the 'skip'
button to skip a question and question navigation pull-down menu to jump back to any questions you skipped.
Once you have completed the Test online, click “Submit Answers.” Your answers will be scored and the answer key with step-by-step
solutions will become available.
Questions? Reach out to us at . We’re here and happy to help.
Questions Limits Points Due Date
20 Questions 180 Minutes 100 pts possible No due date.
Attempt 1 100% (100 of 100) Completed on 04/09/25 at 07:16PM
Score for this quiz: 100% ( 100 /100)
Submitted Apr 9 at 7:16pm
This attempt took 37 minutes.
Question 1 : 5 ptsSkip to question text.
Evaluate limx→∞ (x + 2−−−−−√ – x−−√).Evaluate limx→∞ (x + 2 – x).
2
0
∞∞
2–√2
lim x→∞(x + 2−−−−−−√ – x−−√) = limx→∞ 2x + 2−−−−−−√ + x−−√=2∞=0lim x→∞(x + 2 – x) = limx→∞ 2x + 2 + x=2
∞=0
5 /5
This study source was downloaded by 100000900412927 from CourseHero.com on 01-10-2026 05:58:08 GMT -06:00
, Question 2 : 5 ptsSkip to question text.
Evaluate limx→2 x3 − 8x4 − 16.Evaluate limx→2 x3 − 8x4 − 16.
1/2
−3/8
3/4
3/8
limx→2 x3 − 8x4 − 16 = limx→2 3x24x3 (form 0/0, use L’Hôpital’s rule) = 3⋅224⋅23 (plug in
the values) = 38limx→2 x3 − 8x4 − 16 = limx→2 3x24x3 (form 0/0, use L’Hôpital’s rule)
= 3⋅224⋅23 (plug in the values) = 38
5 /5
Question 3 : 5 ptsA car is moving at a constant acceleration of 3 m / sec2. If the car is moving with a velocity of 20 m / sec at t = 0, how fast is
the car moving when t = 3?
A car is moving at a constant acceleration of 3 m / sec2. If the car is moving with a velocity of 20 m / sec at t = 0, how fast is the car moving
when t = 3?
32 m / sec
29 m / sec
23 m / sec
9 m / sec
Since the car is moving with a constant acceleration of 3 m / sec2, then the velocity of the car will increase by 3 m / sec every second, or 9 m / sec over
3 seconds. So the car will be moving at 29 m / sec when t = 3.
5 /5
Question 4 : 5 ptsSkip to question text.
Evaluate limx → 1 (x−1)3(1−x)−2.Evaluate limx → 1 (x−1)3(1−x)−2.
0
3/2
3
The limit does not exist.
limx → 1 (x−1)3(1−x)−2→0⋅∞limx → 1 (x−1)3(1−x)−2=limx → 1 (x−1)3(1−x)2=limx → 1 3(x−1)2−2(1−x)=limx → 1 6(x−1)2=0limx → 1
(x−1)3(1−x)−2→0⋅∞limx → 1 (x−1)3(1−x)−2=limx → 1 (x−1)3(1−x)2=limx → 1 3(x−1)2−2(1−x)=limx → 1 6(x−1)2=0
5 /5
Question 5 : 5 ptsSkip to question text.
Evaluatelimx → ∞ 4x5+10x3+9x2+2x+12x5−3x4−9x+5.Evaluatelimx → ∞ 4x5+10x3+9x2+2x+12x5−3x4−9x+5.
2
−2
1515
−265−265
This study source was downloaded by 100000900412927 from CourseHero.com on 01-10-2026 05:58:08 GMT -06:00
Instructions:
Click on “Start” to begin the Test.
This Test may be printed by clicking the Print icon at the top of the Test window AFTER starting the Test.
We suggest you work out the answers on the printed Test, then submit your answers online.
THIS IS A TIMED TEST. YOU HAVE 3 HOURS TO COMPLETE THE TEST ONCE YOU CLICK "START." You can start and stop the Test if you
need to; however, the time will continue to elapse. You can also skip questions and go back to them as needed during the test. Use the 'skip'
button to skip a question and question navigation pull-down menu to jump back to any questions you skipped.
Once you have completed the Test online, click “Submit Answers.” Your answers will be scored and the answer key with step-by-step
solutions will become available.
Questions? Reach out to us at . We’re here and happy to help.
Questions Limits Points Due Date
20 Questions 180 Minutes 100 pts possible No due date.
Attempt 1 100% (100 of 100) Completed on 04/09/25 at 07:16PM
Score for this quiz: 100% ( 100 /100)
Submitted Apr 9 at 7:16pm
This attempt took 37 minutes.
Question 1 : 5 ptsSkip to question text.
Evaluate limx→∞ (x + 2−−−−−√ – x−−√).Evaluate limx→∞ (x + 2 – x).
2
0
∞∞
2–√2
lim x→∞(x + 2−−−−−−√ – x−−√) = limx→∞ 2x + 2−−−−−−√ + x−−√=2∞=0lim x→∞(x + 2 – x) = limx→∞ 2x + 2 + x=2
∞=0
5 /5
This study source was downloaded by 100000900412927 from CourseHero.com on 01-10-2026 05:58:08 GMT -06:00
, Question 2 : 5 ptsSkip to question text.
Evaluate limx→2 x3 − 8x4 − 16.Evaluate limx→2 x3 − 8x4 − 16.
1/2
−3/8
3/4
3/8
limx→2 x3 − 8x4 − 16 = limx→2 3x24x3 (form 0/0, use L’Hôpital’s rule) = 3⋅224⋅23 (plug in
the values) = 38limx→2 x3 − 8x4 − 16 = limx→2 3x24x3 (form 0/0, use L’Hôpital’s rule)
= 3⋅224⋅23 (plug in the values) = 38
5 /5
Question 3 : 5 ptsA car is moving at a constant acceleration of 3 m / sec2. If the car is moving with a velocity of 20 m / sec at t = 0, how fast is
the car moving when t = 3?
A car is moving at a constant acceleration of 3 m / sec2. If the car is moving with a velocity of 20 m / sec at t = 0, how fast is the car moving
when t = 3?
32 m / sec
29 m / sec
23 m / sec
9 m / sec
Since the car is moving with a constant acceleration of 3 m / sec2, then the velocity of the car will increase by 3 m / sec every second, or 9 m / sec over
3 seconds. So the car will be moving at 29 m / sec when t = 3.
5 /5
Question 4 : 5 ptsSkip to question text.
Evaluate limx → 1 (x−1)3(1−x)−2.Evaluate limx → 1 (x−1)3(1−x)−2.
0
3/2
3
The limit does not exist.
limx → 1 (x−1)3(1−x)−2→0⋅∞limx → 1 (x−1)3(1−x)−2=limx → 1 (x−1)3(1−x)2=limx → 1 3(x−1)2−2(1−x)=limx → 1 6(x−1)2=0limx → 1
(x−1)3(1−x)−2→0⋅∞limx → 1 (x−1)3(1−x)−2=limx → 1 (x−1)3(1−x)2=limx → 1 3(x−1)2−2(1−x)=limx → 1 6(x−1)2=0
5 /5
Question 5 : 5 ptsSkip to question text.
Evaluatelimx → ∞ 4x5+10x3+9x2+2x+12x5−3x4−9x+5.Evaluatelimx → ∞ 4x5+10x3+9x2+2x+12x5−3x4−9x+5.
2
−2
1515
−265−265
This study source was downloaded by 100000900412927 from CourseHero.com on 01-10-2026 05:58:08 GMT -06:00
