This preview shows pages 1–3. Sign up to view the full content.
saliyev (is4663) – Quest Assignment 5 – rodin – (54520)
1
This printout should have 10 questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
beFore answering.
001
10.0 points
Let
h
be a continuous, positive, decreasing
Function on [2
,
∞
). Compare the values oF
the integral
A
=
±
14
2
h
(
x
)
dx
and the series
B
=
14
²
n
=3
h
(
n
)
,C
=
13
²
n
=2
h
(
n
)
.
1.
B>C>A
2.
A>B>C
3.
C<A<B
4.
B<C<A
5.
A<B<C
6.
B<A<C
002
10.0 points
Compare the values oF the series
A
=
∞
²
n
3
n
1
.
5
and the improper integral
B
=
±
∞
1
3
x
1
.
5
dx.
1.
A
=
B
2.
A>B
3.
A<B
003
10.0 points
Which oF the Following series are convergent:
A
.
∞
²
n
=1
2
n
2
/
3
B
.
1+
1
4
+
1
9
+
1
16
+
...
C
.
∞
²
n
3
n
+1
1.
none oF them
2.
Bon
ly
3.
all oF them
4.
BandCon
5.
Aonly
6.
AandConly
7.
AandBonly
8.
Con
004
10.0 points
Which, iF any, oF the Following series converge?
(
A
)
∞
²
n
6
n
(ln
n
)
2
(
B
)
∞
²
n
2ln
n
n
2
1.
neither
A
nor
B
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Documentsaliyev (is4663) – Quest Assignment 5 – rodin – (54520)
2
2.
A
only
3.
B
only
4.
A
and
B
005
10.0 points
Determine the convergence or divergence of
the series
(
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '11
 RUSIN

Click to edit the document details