MATH 101 Quiz #6 (v.M3)
Last Name:
Friday, April 1
First Name:
Grade:
Student-No:
Section:
Very short answer question
1. 1 mark Determine whether the series
∞
X
(−1)2n+1
n=1
1+n
is absolutely convergent, conditionally
convergent, or divergent.
Answer:
Short answer questions—you must show your work
2. 2 marks Determine whether the series
∞
X
n3 − 4
is convergent or divergent. You must
5 − 6n
2n
n=1
justify your answer.
3. 2 marks What is the smallest value of N such that the partial sum
∞
X
(−1)n−1
n=1
n · 10n
N
X
(−1)n−1
n=1
within an accuracy of 10−7 ?
n · 10n
approximates
Long answer question—you must show your work
4. 5 marks Find all values x for which the series
∞
X
(2x + 5)n
n=1
n3
converges.