This preview shows pages 1–3. Sign up to view the full content.
Ms. Waldron
BC Calculus
Ch 9 Review
Part 1:
Convergence and Divergence of Series
1. Determine if the following series converges or diverges.
Explain your
reasoning.
If the series converges give the converged value.
e
n
π
n
n
=
1
∞
∑
2. Determine if the following series converges or diverges using the integral
test.
2n
n
2
+
1
n
=
1
∞
∑
3. How do we argue that the following series diverges?
1 +
2
n
n
n
=
1
∞
∑
4. Determine if the following series converges or diverges using the Ratio
Test.
2
n
n
+
1
n
=
0
∞
∑
5. Show that the following series converges by the alternating series test.
1
( )
n+1
2
n
+
1
n
=
0
∞
∑
6. How do we argue that the following series diverges:
1
n
3
n
=
1
∞
∑
7. Use the Limit Comparison Test to show that the following series diverges.
2n + 1
3n
2

1
n
=
1
∞
∑
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document8. Show that the following series diverges:
n + 1
2n
+
1
n
=
0
∞
∑
9. Use the Comparison test to show that the following series diverges:
n
n
n!
n
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '10
 waldron
 Calculus

Click to edit the document details