Chapter 9 Practice Test (Form B)

Chapter 9 Practice Test (Form B)

Also make note of the other problems that may be found on the test.

Name: __________________________ Date: _____________

Other problems to expect: p.689 #59, 63, and p. 690 #71

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

a_n =

A.	Sequence converges to 0

B.	Sequence diverges

C.	Sequence converges to 1

D.	Sequence converges to -1

E.	Sequence diverges to 1

Determine the convergence or divergence of the series.

Converges

Diverges

C.	Cannot be determined from the methods in the chapter

Use the Integral Test to determine the convergence or divergence of the series.

Converges

Diverges

C.	Integral Test inconclusive

Use Theorem 9.11 to determine the convergence or divergence of the series.

A.	Theorem 9.11 is inconclusive

Diverges

Converges

Use the Direct Comparison Test (if possible) to determine whether the series

converges or diverges.

C.	Direct Comparison Test does not apply

Use the Limit Comparison Test (if possible) to determine whether the series

converges or diverges.

C.	Limit Comparison Test does not apply

Determine whether the series

converges absolutely, converges conditionally, or diverges.

diverges

Use the Ratio Test to determine the convergence or divergence of the series.

A.	Ratio Test is inconclusive

Diverges

Converges

Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.

A.	Diverges; p-series

B.	Converges; p-series

C.	Diverges; Integral Test

D.	Converges; Ratio Test

E.	Both A and C

F.	Both B and D

10.

Find the Maclaurin polynomial of degree 3 for the function.

11.

Find the fourth degree Maclaurin polynomial for the function.

12.

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)

(–1,1)

[–1,1)

(–6,6)

13.

Find a geometric power series for the function centered at 0, (i) by the technique shown in Examples 1 and 2 and (ii) by long division.

E.	None of the above

14.

Use the power series

to determine a power series, centered at 0, for the function. Identify the interval of convergence.

15.

Use the definition to find the Taylor series (centered at c) for the function.

16.

Use the binomial series to find the Maclaurin series for the function.

This is the end of the test. When you have completed all the questions and reviewed your answers, press the button below to grade the test.

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