Deck 9: Section 3: Infinite Series
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Deck 9: Section 3: Infinite Series
1
Use the Integral Test to determine the convergence or divergence of the series. 
A) diverges
B) Integral Test inconclusive
C) converges

A) diverges
B) Integral Test inconclusive
C) converges
diverges
2
Use the Integral Test to determine the convergence or divergence of the series. 
A) converges
B) diverges
C) Integral Test inconclusive

A) converges
B) diverges
C) Integral Test inconclusive
converges
3
Sketch the graph of the sequence of partial sum of the series
.
A)
B) k
C)
D)
E)

A)

B) k

C)

D)

E)


4
Use Theorem 9.11 to determine the convergence or divergence of the series. 
A) diverges
B) converges
C) Theorem 9.11 inconclusive

A) diverges
B) converges
C) Theorem 9.11 inconclusive
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5
True or false: The series
converges.
A) false
B) true

A) false
B) true
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6
True or false: The series
converges.
A) true
B) false

A) true
B) false
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7
True or false: The series
converges.
A) true
B) false

A) true
B) false
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8
Determine the convergence or divergence of the series. 
A) converges
B) diverges
C) cannot be determined

A) converges
B) diverges
C) cannot be determined
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9
True or false: The series
diverges.
A) false
B) true

A) false
B) true
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10
Determine the convergence or divergence of the series. 
A) converges
B) diverges
C) cannot be determined

A) converges
B) diverges
C) cannot be determined
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11
Find the positive values of
for which the series
converges.
A) The series converges for
.
B) The series converges for
.
C) The series diverges for all positive values of
.
D) The series converges for
.
E) The series converges for
.


A) The series converges for

B) The series converges for

C) The series diverges for all positive values of

D) The series converges for

E) The series converges for

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12
Use Theorem 9.11 to determine the convergence or divergence of the series. 
A) converges
B) diverges
C) Theorem 9.11 inconclusive

A) converges
B) diverges
C) Theorem 9.11 inconclusive
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13
Find the positive values of
for which the series
converges.
A) converges for
B) diverges only at
C) converges for
D) converges for
E) converges for


A) converges for

B) diverges only at

C) converges for

D) converges for

E) converges for

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14
Determine the convergence or divergence of the series. 
A) converges
B) diverges
C) cannot be determined

A) converges
B) diverges
C) cannot be determined
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15
True or false: The series
converges.
A) false
B) true

A) false
B) true
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16
Use Theorem 9.11 to determine the convergence or divergence of the series. 
A) converges
B) diverges
C) Theorem 9.11 inconclusive

A) converges
B) diverges
C) Theorem 9.11 inconclusive
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k this deck
17
Use the Integral Test to determine the convergence or divergence of the series. 
A) diverges
B) converges
C) Integral Test inconclusive

A) diverges
B) converges
C) Integral Test inconclusive
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18
Use the Integral Test to determine the convergence or divergence of the series. 
A) diverges
B) Integral Test inconclusive
C) converges

A) diverges
B) Integral Test inconclusive
C) converges
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k this deck