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Calc 2 8.4

 

<== Calculus 2
Number Question Answer
See the work

1.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Consider the series 
where

 an=(8n^2+5)9^(n+4)/8^n 

Use the ratio test to decide whether
the series converges.
compute

L=______

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.

 

 

L= 1.125               

B

The work

Point Cost: 3

2.

 

 

 

 

 

 

 

 

 

 

 

 

Consider the series 
where

  

Use the ratio test to decide whether
the series converges.
compute

L=______

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.

 

L= ∞

B

The work

Point Cost: 1

3.

 

 

 

 

 

 

 

 

 

 

 

 

 

Consider the series 

 9^n/((n+1)5^(2n+1)) /> </p>
<p>Use the ratio test to decide whether<br />the series converges.<br />compute</p>
<p><img style=

L=______

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.

 

L= .36

A

The work

Point Cost: 3

4.

 

 

 

 

 

 

 

 

 

 

 

 

 

Consider the series 
where

 an=(-1)^(n)n/(n^2-3n-4) 

Use the ratio test to decide whether
the series converges.
compute

L=______

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.

 

L= 1

F

The work

Point Cost: 1

5.

 

 

 

 

 

 

 

 

 

 

 

 

Consider the series

 (-1)^(n+1)15^(n-1)/((n+9)^6(14^n+2)) 

Use the ratio test to decide whether
the series converges.
compute

L=______

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.

L=15/14

B

The work

Point Cost: 2