Deck 9: Section 3: Infinite Series

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Question
Use the Integral Test to determine the convergence or divergence of the series. <strong>Use the Integral Test to determine the convergence or divergence of the series.  </strong> A) diverges B) Integral Test inconclusive C) converges <div style=padding-top: 35px>

A) diverges
B) Integral Test inconclusive
C) converges
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Question
Use the Integral Test to determine the convergence or divergence of the series. <strong>Use the Integral Test to determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) Integral Test inconclusive <div style=padding-top: 35px>

A) converges
B) diverges
C) Integral Test inconclusive
Question
Sketch the graph of the sequence of partial sum of the series <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)   <div style=padding-top: 35px>
B) k <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)   <div style=padding-top: 35px>
Question
Use Theorem 9.11 to determine the convergence or divergence of the series. <strong>Use Theorem 9.11 to determine the convergence or divergence of the series.  </strong> A) diverges B) converges C) Theorem 9.11 inconclusive <div style=padding-top: 35px>

A) diverges
B) converges
C) Theorem 9.11 inconclusive
Question
True or false: The series <strong>True or false: The series   converges.</strong> A) false B) true <div style=padding-top: 35px> converges.

A) false
B) true
Question
True or false: The series <strong>True or false: The series   converges.</strong> A) true B) false <div style=padding-top: 35px> converges.

A) true
B) false
Question
True or false: The series <strong>True or false: The series   converges.</strong> A) true B) false <div style=padding-top: 35px> converges.

A) true
B) false
Question
Determine the convergence or divergence of the series. <strong>Determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) cannot be determined <div style=padding-top: 35px>

A) converges
B) diverges
C) cannot be determined
Question
True or false: The series <strong>True or false: The series   diverges.</strong> A) false B) true <div style=padding-top: 35px> diverges.

A) false
B) true
Question
Determine the convergence or divergence of the series. <strong>Determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) cannot be determined <div style=padding-top: 35px>

A) converges
B) diverges
C) cannot be determined
Question
Find the positive values of <strong>Find the positive values of   for which the series   converges.</strong> 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   . <div style=padding-top: 35px> for which the series <strong>Find the positive values of   for which the series   converges.</strong> 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   . <div style=padding-top: 35px> converges.

A) The series converges for <strong>Find the positive values of   for which the series   converges.</strong> 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   . <div style=padding-top: 35px> .
B) The series converges for <strong>Find the positive values of   for which the series   converges.</strong> 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   . <div style=padding-top: 35px> .
C) The series diverges for all positive values of <strong>Find the positive values of   for which the series   converges.</strong> 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   . <div style=padding-top: 35px> .
D) The series converges for <strong>Find the positive values of   for which the series   converges.</strong> 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   . <div style=padding-top: 35px> .
E) The series converges for <strong>Find the positive values of   for which the series   converges.</strong> 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   . <div style=padding-top: 35px> .
Question
Use Theorem 9.11 to determine the convergence or divergence of the series. <strong>Use Theorem 9.11 to determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) Theorem 9.11 inconclusive <div style=padding-top: 35px>

A) converges
B) diverges
C) Theorem 9.11 inconclusive
Question
Find the positive values of <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for   <div style=padding-top: 35px> for which the series <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for   <div style=padding-top: 35px> converges.

A) converges for <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for   <div style=padding-top: 35px>
B) diverges only at <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for   <div style=padding-top: 35px>
C) converges for <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for   <div style=padding-top: 35px>
D) converges for <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for   <div style=padding-top: 35px>
E) converges for <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for   <div style=padding-top: 35px>
Question
Determine the convergence or divergence of the series. <strong>Determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) cannot be determined <div style=padding-top: 35px>

A) converges
B) diverges
C) cannot be determined
Question
True or false: The series <strong>True or false: The series   converges.</strong> A) false B) true <div style=padding-top: 35px> converges.

A) false
B) true
Question
Use Theorem 9.11 to determine the convergence or divergence of the series. <strong>Use Theorem 9.11 to determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) Theorem 9.11 inconclusive <div style=padding-top: 35px>

A) converges
B) diverges
C) Theorem 9.11 inconclusive
Question
Use the Integral Test to determine the convergence or divergence of the series. <strong>Use the Integral Test to determine the convergence or divergence of the series.  </strong> A) diverges B) converges C) Integral Test inconclusive <div style=padding-top: 35px>

A) diverges
B) converges
C) Integral Test inconclusive
Question
Use the Integral Test to determine the convergence or divergence of the series. <strong>Use the Integral Test to determine the convergence or divergence of the series.  </strong> A) diverges B) Integral Test inconclusive C) converges <div style=padding-top: 35px>

A) diverges
B) Integral Test inconclusive
C) converges
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Deck 9: Section 3: Infinite Series
1
Use the Integral Test to determine the convergence or divergence of the series. <strong>Use the Integral Test to determine the convergence or divergence of the series.  </strong> 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. <strong>Use the Integral Test to determine the convergence or divergence of the series.  </strong> 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 <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)   .

A) <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)
B) k <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)
C) <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)
D) <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)
E) <strong>Sketch the graph of the sequence of partial sum of the series   .</strong> A)   B) k   C)   D)   E)
4
Use Theorem 9.11 to determine the convergence or divergence of the series. <strong>Use Theorem 9.11 to determine the convergence or divergence of the series.  </strong> 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 <strong>True or false: The series   converges.</strong> A) false B) true converges.

A) false
B) true
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6
True or false: The series <strong>True or false: The series   converges.</strong> A) true B) false converges.

A) true
B) false
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7
True or false: The series <strong>True or false: The series   converges.</strong> A) true B) false converges.

A) true
B) false
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8
Determine the convergence or divergence of the series. <strong>Determine the convergence or divergence of the series.  </strong> 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 <strong>True or false: The series   diverges.</strong> A) false B) true diverges.

A) false
B) true
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10
Determine the convergence or divergence of the series. <strong>Determine the convergence or divergence of the series.  </strong> 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 <strong>Find the positive values of   for which the series   converges.</strong> 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   . for which the series <strong>Find the positive values of   for which the series   converges.</strong> 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   . converges.

A) The series converges for <strong>Find the positive values of   for which the series   converges.</strong> 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   . .
B) The series converges for <strong>Find the positive values of   for which the series   converges.</strong> 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   . .
C) The series diverges for all positive values of <strong>Find the positive values of   for which the series   converges.</strong> 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   . .
D) The series converges for <strong>Find the positive values of   for which the series   converges.</strong> 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   . .
E) The series converges for <strong>Find the positive values of   for which the series   converges.</strong> 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. <strong>Use Theorem 9.11 to determine the convergence or divergence of the series.  </strong> 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 <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for   for which the series <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for   converges.

A) converges for <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for
B) diverges only at <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for
C) converges for <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for
D) converges for <strong>Find the positive values of   for which the series   converges.</strong> A) converges for   B) diverges only at   C) converges for   D) converges for   E) converges for
E) converges for <strong>Find the positive values of   for which the series   converges.</strong> 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. <strong>Determine the convergence or divergence of the series.  </strong> 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 <strong>True or false: The series   converges.</strong> A) false B) true converges.

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

A) converges
B) diverges
C) Theorem 9.11 inconclusive
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17
Use the Integral Test to determine the convergence or divergence of the series. <strong>Use the Integral Test to determine the convergence or divergence of the series.  </strong> 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. <strong>Use the Integral Test to determine the convergence or divergence of the series.  </strong> A) diverges B) Integral Test inconclusive C) converges

A) diverges
B) Integral Test inconclusive
C) converges
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