MATH 101 Quiz #6 (v.M1)
Last Name:
Friday, April 1
First Name:
Grade:
Student-No:
Section:
Very short answer question
∞
X
(−1)n
1. 1 mark Determine whether the series
is absolutely convergent, conditionally conn + n2
n=1
vergent, or divergent.
Answer:
Short answer questions—you must show your work
2. 2 marks Determine whether the series
∞
X
n2 + 3
is convergent or divergent. You must
3 + 4n
n
n=1
justify your answer.
3. 2 marks What is the smallest value of N such that the partial sum
∞
X
(−1)n
within an accuracy of 10−6 ?
n
n
·
10
n=1
N
X
(−1)n
approximates
n
n
·
10
n=1
Long answer question—you must show your work
4. 5 marks Find all values x for which the series
∞
X
(2x − 3)n
n=1
n2
converges.