Math 1B
Due date: Friday 6 May
Name: _________________________
Take Home Quiz 4
Please show all your work on a separate sheet of paper. Neatly do the problems in order and leave enough space between
problems for my comments and grading. You are allowed to get help with the problems and discuss them with your
classmates but all work must be your own.
Determine whether each series is convergent or divergent. State which test(s) you use, and justify your
answers.
!
1.
!!!
!
2.
!!!
!
3.
!!!
1
𝑛 ln 𝑛
3𝑛 + 1
𝑛! + 2𝑛
5𝑛 𝑛 + 2
𝑛+3 !
Determine whether each series is absolutely convergent, conditionally convergent, or divergent. State
which test(s) you use, and justify your answer.
∞
4.
5.
€
∑
(7n
(2n − 3)
∞
(− 6)n n 2
∑
∑ (−1)
n=1
n
2n
n!
∞
€
+ 8)
n=1
n=1
6.
2
n
3n
5n 2 + 1