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Sequences, Series, and Power Series
Multiple Choice Quizzes

1 .       Which statment is not correct? 



2 .       Which statement is not correct? 



3 .       In applying the integral test to determine the convergence or divergence of a series, which of the following results is incorrect?  



4 .       In applying the ratio test to determine the convergence or divergence of a series, which of the following results is incorrect?  



5 .       It can be shown that
sequen17.gif
How many terms of this series are required to approximate e-¹ with an error of less than 0.001 and what is the resulting approximation?  



6 .       Which statement is not correct? 



7 .       The interval of convergence is stated for each of the following power series. Which statement is not correct?  



8 .       Use the power series sequen26.gif
to determine a power series representation for ln (2 – x) in powers of x.  



9 .       Find the Maclaurin series for tan–1 (x).  



10 .       Find the first three terms of the Taylor series for f(x) = sin (x) about the point x = π/3.  



11 .       How many terms of an appropriate Maclaurin series are required to approximate e ¯² if the error cannot exceed 0.001?  



12 .       Find the Maclaurin series approximation to sequen39.gif 



13 .       Estimate the error if the Maclaurin polynomial of degree 2 for sec(x) is used to approximate sec(0.1). 



14 .       Find the Maclaurin polynomial of degree 3 for sequen44.gif 



15 .       Use 3 terms of an appropriate series to approximate the first-quadrant area bounded by sequen49.gif and x=0.5. 



Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.





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