Calculus II
Sample Exam III - 4 pages
Sections 11.3-11.5 & 12.1-12.5
Math 1220
NAME:
TIME LIMIT 50 MINUTES
The point value of each problem is in the left-hand margin. You must show your work to receive full
credit for your answers.
(10)
1. True or False.
( ) (a) The sequence
a
n
= (
,
1)
n
converges.
( ) (b) The series
1
X
n
=1
tan
,
1
n
converges.
( ) (c)
1
X
n
=1
3(0
:
4)
n
,
1
= 5.
( ) (d) In polar co ordinates, ordered pairs (1
;
4
๎=
3) and (1
;
,
2
๎=
3) represent the same point
in the plane.
( ) (e) The graph of
(
x
,
1)
2
25
+
(
y
+4)
2
49
= 1 is an ellipse.
(6)
2. The sequence
n๎
n
n
+1
๎
n
o
1
n
=1
converges. Find its limit.
(6)
3. Show that the sequence
n
5
n
n
2
+1
o
1
n
=2
is bounded and monotone.
