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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 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 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 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 15 . Use 3 terms of an appropriate series to approximate the first-quadrant area bounded by and x=0.5. Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.