MATH 101 Quiz #6 (v.T2)
Last Name:
Thursday, March 31
First Name:
Grade:
Student-No:
Section:
Very short answer question
∞
2
X
n+1 1 + 3n
1. 1 mark The series
(−1)
either: [CA] converges absolutely; [CC] converges con3 + 2n2
n=1
ditionally; [D] diverges; or [N] none of the above. Determine which answer is correct, and put
its abbreviation in the box.
Answer:
Short answer questions—you must show your work
2. 2 marks How many terms of the series
within an error that is ≤ 10−4 ?
∞
X
(−1)n−1
n=1
n4
are needed in order to evaluate its value
3. 2 marks Use the Comparison Test (not the Limit Comparison Test) to show whether the
∞ √
X
3n2 − 7
series
converges or diverges.
n3
n=2
Long answer question—you must show your work
4. 5 marks Find the interval of convergence for
∞
X
4n
n=1
n
(x − 1)n .