1,125 Answered Questions for the topic AP Calculus
Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this exercise each is only used once.
Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this exercise each is only used...
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For what value(s) of r is the series the summation from n equals 1 to infinity of the quotient of 1 and n raised to the quantity r plus 3 power convergent?
For what value(s) of r is the series convergent?
A
r > -2
B
r > -1
C
r ≥ -2
D
All values of r
How many terms of the series the summation from n equals 1 to infinity of the quotient of n factorial and negative 2 raised to the nth power do we need to add in order to find the sum with an...
How many terms of the series do we need to add in order to find the sum with an absolute value of its error to be less than 0.01?
A
3
B
5
C
7
D
The series diverges so no sum is possible.
Find the sum of the series the series from n equals 1 to infinity of the quotient of negative 1 raised to the n minus 1 power and n squared correct to two decimal places.
Find the sum of the series correct to two decimal places.Type your answer in the space below and give 2 decimal places.
Which one of the following statements is true about the series the series from n equals 1 to infinity of the quotient of negative 1 raised to the nth power and n to the one half power ?
Which one of the following statements is true about the series ?
A
It is divergent.
B
It is absolutely convergent.
C
It is conditionally convergent.
D
Its sum is 0.
Ap Calculus Calculus
03/12/21
Which of the following series converges conditionally?
Which of the following series converges conditionally?
A
B
C
D
Ap Calculus Calculus
03/12/21
Which of the following series is/are convergent?
Which of the following series is/are convergent?
A
I and II
B
II and III
C
All of them
D
None of them
calculus question help
Use the alternating series test to determine the convergence/divergence of the series .
A
The alternating series fails.
B
The series converges.
C
The series is conditionally...
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calculus question help
Which of the following series is/are convergent?
A
I and II
B
II and III
C
All of them
D
None of them
calculus question help
Which of the following series converges conditionally?
A
B
C
D
Use the alternating series test to determine the convergence/divergence of the series
Use the alternating series test to determine the convergence/divergence of the series .
A
The alternating series fails.
B
The series converges.
C
The series is conditionally...
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Which of the following series is/are convergent by the alternating series test?
Which of the following series is/are convergent by the alternating series test?
A
I only
B
I and II only
C
I and III only
D
II and III only
Use the alternating series test to determine the convergence/divergence of the series the summation from n equals 1 to infinity of the product of negative 1 raised to the nth power and the...
Use the alternating series test to determine the convergence/divergence of the series
A
The alternating series fails.
B
The series converges.
C
The series is conditionally...
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Which of the following series is/are convergent?
Which of the following series is/are convergent?
A
I and II
B
II and III
C
All of them
D
None of them
Which of the following series converges conditionally?
Which of the following series converges conditionally?
A
B
C
D
State the convergence/divergence for the series the summation from n equals 1 to infinity of the product of negative 1 raised to the nth power and 2 raised to the nth power divided by n factorial
State the convergence/divergence for the series
A
Converges absolutely
B
Converges conditionally
C
Diverges
D
Cannot be determined
Which of the following statements is false?
Which of the following statements is false?
The nth term test can never be used to show that a series converges.
The integral test cannot be applied to a series in which not all the terms are...
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Ap Calculus Calculus
03/11/21
Which one of these infinite series converges?
Which one of these infinite series converges?
Which one of the following series is convergent?
Which one of the following series is convergent?
A
B
C
D
If the summation of a sub n and the summation of b sub n are both series of positive terms and an > bn for all n, and the summation of b sub n diverges, then...
If and are both series of positive terms and an > bn for all n, and diverges, then...
A
converges
B
diverges
C
= 0
D
Which one of these infinite series diverges?
Which one of these infinite series diverges?
A
B
C
D
Use the nth term test for divergence to determine which, if any, of the following infinite series diverge(s)
Use the nth term test for divergence to determine which, if any, of the following infinite series diverge(s)
A
All of them
B
I only
C
II only
D
II and III
If the limit as n goes to infinity of the summation from n equals 1 to n of a sub k exists and has a finite value, the infinite series the summation from n equals 1 to n of a sub k is said to be
If exists and has a finite value, the infinite series k is said to be
A
unbounded
B
convergent
C
increasing
D
divergent
Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power
Evaluate
A
12
B
6
C
3
D
0
Find the limit of the sequence of partial sums whose general term is a sub n equals 10 factorial divided by 10 to the nth power
Find the limit of the sequence of partial sums whose general term is
A
10
B
0
C
1
D
Does not exist
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