Hi, i need help please. answer questions 2, 5 and 10 only, thanks, show work.Mohammed Yaaseen Gomdah
E
WeBWorK assignment due : 03/23/2016 at 03:00am EDT.
1.
(1 pt) Consider the series
?
?
n
=
1
n
?
7
n
2
+
2
Determine whether the series converges, and if it converges,
determine its value. If the sum does not converge, enter
DNE
.
Value (or
DNE
):
2.
(1 pt) Compute the value of the following improper inte
gral. If it converges, enter its value. Enter
in?nity
if it diverges
to
?
, and
in?nity
if it diverges to

?
. Otherwise, enter
di
verges.
Z
?
1
2ln
(
x
)
x
8
dx
=
Does the series
?
?
n
=
1
2ln
(
n
)
n
8
converge or diverge?
?
3.
(1 pt) Determine whether the series is convergent or diver
gent. If convergent, ?nd the sum; if divergent, enter
div
.
?
?
n
=
1
n
?
n
2
+
17
Answer:
4.
(1 pt) Evaluate
Z
?
1
7
x
2
e

x
3
Answer:
Determine whether the following series congerges.
?
?
n
=
1
7
n
2
e

n
3
Enter
C
if series is convergent,
D
if series is divergent:
5.
(1 pt) Test each of the following series for convergence by
the Integral Test. If the Integral Test can be applied to the series,
enter CONV if it converges or DIV if it diverges. If the integral
test cannot be applied to the series, enter NA. (Note: this means
that even if you know a given series converges by some other
test, but the Integral Test cannot be applied to it, then you must
enter NA rather than CONV.)
1.
?
?
n
=
1
n
+
1
(

6
)
n
2.
?
?
n
=
1
ln
(
4
n
)
n
3.
?
?
n
=
1
7
n
ln
(
4
n
)
4.
?
?
n
=
1
7
n
(
ln
(
4
n
))
6
5.
?
?
n
=
1
ne
3
n
6.
(1 pt) Determine the convergence or divergence of the fol
lowing series.
?
?
n
=
1
?
2
n
+
1
n
2
•
A. convergent
•
B. divergent
7.
(1 pt) Determine whether the series is convergent or diver
gent. If convergent, ?nd the sum; if divergent, enter
div
.
?
?
n
=
1
n
n
+
4
Answer:
8.
(1 pt) Match each of the following with the correct state
ment.
C stands for Convergent, D stands for Divergent.
1.
?
?
n
=
1
ln
(
n
)
7
n
2.
?
?
n
=
1
4
n
7

49
3.
?
?
n
=
1
4
n
(
n
+
5
)
4.
?
?
n
=
1
4
+
7
n
4
+
9
n
5.
?
?
n
=
1
1
4
+
4
?
n
4
9.
(1 pt) Test each of the following series for convergence
by either the Comparison Test or the Limit Comparison Test. If
either test can be applied to the series, enter CONV if it con
verges or DIV if it diverges. If neither test can be applied to
the series, enter NA. (Note: this means that even if you know a
given series converges by some other test, but the comparison
tests cannot be applied to it, then you must enter NA rather than
CONV.)
1.
?
?
n
=
1
(
ln
(
n
))
5
n
+
8
2.
?
?
n
=
1
cos
(
n
)
?
n
6
n
+
9
1
Answer