Math 252 Test Four
Calculus II name
This tantalizing fifty minute test covers several sections of Calculus by James Stewart 4th
ed. Clearly indicate your answers and show your work. All parts of problems are five
points each (unless otherwise stated).
1. Determine if the following sequences are convergent or divergent. If convergent, then
find their limit.
a) 3
3(1)
n
n
+−
b)
3
!
n
n
an
=
2. Determine if the following series are convergent or divergent. Give a reason for your
answer.
a) 2
1
cos(1/ )
n
n
∞
=
∑
b) 1.2
1
3
nn
∞
=
∑
c) 2
1
11
cos
nn
n
∞
=
∑
3. For which values of x does the series
1
2
3
n
n
x
∞
=
−
∑ converge?.
