Practice Problems: Limit Comparison Test
Practice Questions
P n2 +1
1. Test convergence of n3 +5
.
P 2n3 +1
2. Apply the Limit Comparison Test to n4
.
P n2
3. Determine convergence of n3 +10
.
P n3 +4 P 1
4. Compare n5
with n2
.
P n2 −3
5. Use the Limit Comparison Test on n4 +2
.
n3
P
6. Analyze n3 +1
.
n2 +5
P
7. Test convergence of n2 +10n
.
n4
P
8. Apply the Limit Comparison Test to n5 +2
.
n2
P
9. Determine convergence of n2 +1
.
P n3 +2 P 1
10. Compare n4 +5
with n
.
n2
P
11. Use the Limit Comparison Test on n3 +2n
.
n5
P
12. Analyze n6 +1
.
P n2 +1
13. Test convergence of n4 +3
.
n3
P
14. Apply the Limit Comparison Test to n4 +n
.
n2
P
15. Determine convergence of n3 +n2
.
n4 1
P P
16. Compare n5 +10
with n
.
n3
P
17. Use the Limit Comparison Test on n5 +2
.
n2
P
18. Analyze n4 +1
.
1
Practice Questions
P n2 +1
1. Test convergence of n3 +5
.
P 2n3 +1
2. Apply the Limit Comparison Test to n4
.
P n2
3. Determine convergence of n3 +10
.
P n3 +4 P 1
4. Compare n5
with n2
.
P n2 −3
5. Use the Limit Comparison Test on n4 +2
.
n3
P
6. Analyze n3 +1
.
n2 +5
P
7. Test convergence of n2 +10n
.
n4
P
8. Apply the Limit Comparison Test to n5 +2
.
n2
P
9. Determine convergence of n2 +1
.
P n3 +2 P 1
10. Compare n4 +5
with n
.
n2
P
11. Use the Limit Comparison Test on n3 +2n
.
n5
P
12. Analyze n6 +1
.
P n2 +1
13. Test convergence of n4 +3
.
n3
P
14. Apply the Limit Comparison Test to n4 +n
.
n2
P
15. Determine convergence of n3 +n2
.
n4 1
P P
16. Compare n5 +10
with n
.
n3
P
17. Use the Limit Comparison Test on n5 +2
.
n2
P
18. Analyze n4 +1
.
1