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Determine whether the sequence defined by Determine whether the sequence defined by converges or diverges. If it converges, find its limit. A) 0 B) 1 C) Diverges D) converges or diverges. If it converges, find its limit.


A) 0
B) 1
C) Diverges
D) Determine whether the sequence defined by converges or diverges. If it converges, find its limit. A) 0 B) 1 C) Diverges D)

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Determine whether the series converges or diverges. Determine whether the series converges or diverges.

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When money is spent on goods and services, those that receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends When money is spent on goods and services, those that receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends and saves of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, . The number k = 1/s is called the multiplier. What is the multiplier if the marginal propensity to consume is ? A) 3 B) 6 C) 2.5 D) 7 E) 4 and saves When money is spent on goods and services, those that receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends and saves of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, . The number k = 1/s is called the multiplier. What is the multiplier if the marginal propensity to consume is ? A) 3 B) 6 C) 2.5 D) 7 E) 4 of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, When money is spent on goods and services, those that receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends and saves of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, . The number k = 1/s is called the multiplier. What is the multiplier if the marginal propensity to consume is ? A) 3 B) 6 C) 2.5 D) 7 E) 4 . The number k = 1/s is called the multiplier. What is the multiplier if the marginal propensity to consume is When money is spent on goods and services, those that receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends and saves of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, . The number k = 1/s is called the multiplier. What is the multiplier if the marginal propensity to consume is ? A) 3 B) 6 C) 2.5 D) 7 E) 4 ?


A) 3
B) 6
C) 2.5
D) 7
E) 4

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Determine which series is convergent.


A) Determine which series is convergent. A) B)
B) Determine which series is convergent. A) B)

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Determine whether the series is convergent or divergent. Determine whether the series is convergent or divergent.

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Determine whether the sequence defined by Determine whether the sequence defined by converges or diverges. If it converges, find its limit. A) Diverges B) C) 1 D) 0 converges or diverges. If it converges, find its limit.


A) Diverges
B) Determine whether the sequence defined by converges or diverges. If it converges, find its limit. A) Diverges B) C) 1 D) 0
C) 1
D) 0

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Use the Integral Test to determine whether the series is convergent or divergent. Use the Integral Test to determine whether the series is convergent or divergent.

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Find the radius of convergence and the interval of convergence of the power series. Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)


A) Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)
B) Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)
C) Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)
D) Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)

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Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. Write a such that . Write a such that Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. Write a such that . .

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Determine whether the series is convergent or divergent. Determine whether the series is convergent or divergent.

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Determine whether the given series converges or diverges. If it converges, find its sum. Determine whether the given series converges or diverges. If it converges, find its sum. A) B) Diverges C) D)


A) Determine whether the given series converges or diverges. If it converges, find its sum. A) B) Diverges C) D)
B) Diverges
C) Determine whether the given series converges or diverges. If it converges, find its sum. A) B) Diverges C) D)
D) Determine whether the given series converges or diverges. If it converges, find its sum. A) B) Diverges C) D)

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Find the radius of convergence and the interval of convergence of the power series. Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)


A) Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)
B) Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)
C) Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)
D) Find the radius of convergence and the interval of convergence of the power series. A) B) C) D)

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Determine whether the sequence convergent or divergent. Determine whether the sequence convergent or divergent. A) converges B) diverges


A) converges
B) diverges

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Determine whether the given series converges or diverges. If it converges, find its sum. Determine whether the given series converges or diverges. If it converges, find its sum.

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Determine whether the series is convergent or divergent. Determine whether the series is convergent or divergent.

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Find a power series representation for the function. Find a power series representation for the function. A) B) C) D) E)


A) Find a power series representation for the function. A) B) C) D) E)
B) Find a power series representation for the function. A) B) C) D) E)
C) Find a power series representation for the function. A) B) C) D) E)
D) Find a power series representation for the function. A) B) C) D) E)
E) Find a power series representation for the function. A) B) C) D) E)

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A sequenceis A sequenceis defined recursively by the equation for where . Use your calculator to guess the limit of the sequence. defined recursively by the equation A sequenceis defined recursively by the equation for where . Use your calculator to guess the limit of the sequence. for A sequenceis defined recursively by the equation for where . Use your calculator to guess the limit of the sequence. where A sequenceis defined recursively by the equation for where . Use your calculator to guess the limit of the sequence. . Use your calculator to guess the limit of the sequence.

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Find the Find the partial sum of the telescoping series, and use it to determine whether the series converges or diverges. If it converges, find its sum. partial sum Find the partial sum of the telescoping series, and use it to determine whether the series converges or diverges. If it converges, find its sum. of the telescoping series, and use it to determine whether the series converges or diverges. If it converges, find its sum. Find the partial sum of the telescoping series, and use it to determine whether the series converges or diverges. If it converges, find its sum.

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Evaluate the indefinite integral as a power series. Evaluate the indefinite integral as a power series. A) B) C) D) E)


A) Evaluate the indefinite integral as a power series. A) B) C) D) E)
B) Evaluate the indefinite integral as a power series. A) B) C) D) E)
C) Evaluate the indefinite integral as a power series. A) B) C) D) E)
D) Evaluate the indefinite integral as a power series. A) B) C) D) E)
E) Evaluate the indefinite integral as a power series. A) B) C) D) E)

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Find an approximation of the sum of the series accurate to two decimal places. Find an approximation of the sum of the series accurate to two decimal places. A) -0.83 B) -1.02 C) -0.96 D) -0.90


A) -0.83
B) -1.02
C) -0.96
D) -0.90

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