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(1 point) Test each of the following series for converge by either the Comparison Test or the Limit Comparison Test
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(1 point) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If at least one
test can be applied to the series, enter CONV if it converges 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.)
n=
n=1
*cos(n)vn
1.
n5
(ln(n))
2.
n +5
cos(n)n
5n +9
5n5
+9
4n10 – no + 5.vn
5.
8n12 – n5 + 3
3.
n10
n=1
(1 point)
Consider the series
Σ Ž
an where
n=1
an
(5n2 + 6)(-6)n+2
7n
In this problem you must attempt to use the Ratio Test to decide whether the series converges.
Compute
L=
lim
n-
an+1
an
Enter the numerical value of the limit L if the limit exists, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it
diverges but not to infinity or negative infinity.
L=
DIV
Which of the following statements is true?
A. The Ratio Test says that the series converges absolutely.
B. The Ratio Test says that the series diverges.
C. The Ratio Test says that the series converges conditionally.
D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests.
E. The Ratio Test is inconclusive, but the series diverges by another test or tests.
F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests.
Enter the letter for your choice here: F A
(1 point) Determine the sum of the following series.
iM8
(2)n-1
6"
n=1
(1 point)
Find the interval of convergence for the given power series.
(x - 2)"
n(–7)"
n=1
The series is convergent
from x =
, left end included (enter Y or N):
2
to x =
right end included (enter Y or N):
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