Calculus 102 "First" By Osaid Qasem

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| Written by Osaidqasem

Osaidqasem

Community Contributor

Quizzes Created: 1 | Total Attempts: 282

Questions: 10 | Attempts: 282 | Updated: Mar 21, 2023

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Calculus 102 "first"

Questions and Answers

1.

Choose the correct
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
C. C
2.

.
- A.
  
  0
- B.
  
  Ln 1
- C.
  
  1
- D.
  
  Diverge
Correct Answer
D. Diverge

Explanation
The given answer, "Diverge," suggests that the series in question does not converge to a finite value. This means that the terms of the series do not approach a specific number as the number of terms increases. Without further information about the series or its terms, it is not possible to provide a more specific explanation.

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3.

.
- A.
  
  Converges to 0
- B.
  
  Converges to 2
- C.
  
  Diverge
- D.
  
  Converges to 7
Correct Answer
C. Diverge

Explanation
The given answer "Diverge" suggests that the sequence does not converge to a specific value. This means that the terms of the sequence do not approach a single number as the sequence progresses. Instead, the terms may fluctuate or move away from each other, indicating that the sequence does not have a limit.

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4.

.
- A.
  
  Converges to -1/4
- B.
  
  Converges to 1
- C.
  
  Converges to -2
- D.
  
  Diverge
Correct Answer
B. Converges to 1

Explanation
The given sequence converges to 1. This means that as the terms of the sequence continue, they get closer and closer to the value of 1. The sequence does not diverge or go off to infinity, but rather approaches a specific value, which in this case is 1.

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5.

This sequence is:
- A.
  
  Monotone sequence
- B.
  
  Decreasing
- C.
  
  Increasing
- D.
  
  A+B
- E.
  
  A+C
Correct Answer
D. A+B

Explanation
The given sequence starts with "Monotone sequence," which means that the elements in the sequence are either all increasing or all decreasing. The next two elements are "Decreasing" and "Increasing," indicating that the sequence is transitioning from a decreasing trend to an increasing trend. The fourth element is "A+B," suggesting that the next element in the sequence is obtained by adding A and B. Therefore, the correct answer is obtained by adding A and B.

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6.

.
- A.
  
  Converges to 1
- B.
  
  Converges to 2
- C.
  
  Diverge
- D.
  
  Converges to 1/8
Correct Answer
B. Converges to 2
7.

.
- A.
  
  Converge
- B.
  
  Diverge
- C.
  
  None
Correct Answer
A. Converge
8.

Which one of the following integrals is divergent
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
C. C
9.

.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
D. D
10.

=
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
A. A

Calculus 102 "First" By Osaid Qasem

Choose the correct

.

.

.

This sequence is:

.

.

Which one of the following integrals is divergent

.

=