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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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Find the radius of convergence of the series. Find the radius of convergence of the series. A) B) C) D) E)


A) Find the radius of convergence of the series. A) B) C) D) E)
B) Find the radius of convergence of the series. A) B) C) D) E)
C) Find the radius of convergence of the series. A) B) C) D) E)
D) Find the radius of convergence of the series. A) B) C) D) E)
E) Find the radius of convergence of the series. A) B) C) D) E)

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Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. A) absolutely convergent B) conditionally convergent C) divergent


A) absolutely convergent
B) conditionally convergent
C) divergent

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Use series to evaluate the limit correct to three decimal places. Use series to evaluate the limit correct to three decimal places. Select the correct answer. A) 118.933 B) 114.333 C) 114.133 D) 34.3233 E) 115.933 Select the correct answer.


A) 118.933
B) 114.333
C) 114.133
D) 34.3233
E) 115.933

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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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For which positive integers k is the series For which positive integers k is the series convergent? A) B) C) D) E) convergent?


A) For which positive integers k is the series convergent? A) B) C) D) E)
B) For which positive integers k is the series convergent? A) B) C) D) E)
C) For which positive integers k is the series convergent? A) B) C) D) E)
D) For which positive integers k is the series convergent? A) B) C) D) E)
E) For which positive integers k is the series convergent? A) B) C) D) E)

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Graph the sequence defined by Graph the sequence defined by . Use the graph to guess at the convergence or divergence of the sequence. . Use the graph to guess at the convergence or divergence of the sequence.

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

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Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error. Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error.

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Use the sum of the first 9 terms to approximate the sum of the following series. Use the sum of the first 9 terms to approximate the sum of the following series. Write your answer to six decimal places. Write your answer to six decimal places.

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Test the series for convergence or divergence. Test the series for convergence or divergence.

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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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Test the series for convergence or divergence. Test the series for convergence or divergence.

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Find the value of the limit of the sequence defined by Find the value of the limit of the sequence defined by . A) B) C) D) E) .


A) Find the value of the limit of the sequence defined by . A) B) C) D) E)
B) Find the value of the limit of the sequence defined by . A) B) C) D) E)
C) Find the value of the limit of the sequence defined by . A) B) C) D) E)
D) Find the value of the limit of the sequence defined by . A) B) C) D) E)
E) Find the value of the limit of the sequence defined by . A) B) C) D) E)

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Determine the number of terms sufficient to obtain the sum of the series accurate to three decimal places. Determine the number of terms sufficient to obtain the sum of the series accurate to three decimal places. A) 20 B) 21 C) 22 D) 19


A) 20
B) 21
C) 22
D) 19

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

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Approximate the sum to the indicated accuracy. Approximate the sum to the indicated accuracy. (five decimal places) A) B) C) D) E) (five decimal places)


A) Approximate the sum to the indicated accuracy. (five decimal places) A) B) C) D) E)
B) Approximate the sum to the indicated accuracy. (five decimal places) A) B) C) D) E)
C) Approximate the sum to the indicated accuracy. (five decimal places) A) B) C) D) E)
D) Approximate the sum to the indicated accuracy. (five decimal places) A) B) C) D) E)
E) Approximate the sum to the indicated accuracy. (five decimal places) A) B) C) D) E)

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

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