Exam 9: Section 10: Infinite Series

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

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C

Evaluate Evaluate   using the formula   where k is a real number, n is a positive integer, and   . using the formula Evaluate   using the formula   where k is a real number, n is a positive integer, and   . where k is a real number, n is a positive integer, and Evaluate   using the formula   where k is a real number, n is a positive integer, and   . .

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Use a power series to approximate the value of the integral Use a power series to approximate the value of the integral   with an error less than 0.001. Round your answer to four decimal places. with an error less than 0.001. Round your answer to four decimal places.

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C

Use a power series to approximate the value of the integral Use a power series to approximate the value of the integral   with an error of less than 0.0001. Round your answer to four decimal places. with an error of less than 0.0001. Round your answer to four decimal places.

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Find the Maclaurian series for the function Find the Maclaurian series for the function   . .

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

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Factor a common factor from the polynomial Factor a common factor from the polynomial   and identify the function approximated by the remaining Taylor polynomial. and identify the function approximated by the remaining Taylor polynomial.

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Find the Maclaurin series for the function Find the Maclaurin series for the function   . .

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Use a power series to approximate the value of the integral Use a power series to approximate the value of the integral   with an error of less than 0.01. Round your answer to two decimal places. with an error of less than 0.01. Round your answer to two decimal places.

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

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

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

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Find the Maclaurian series for the function Find the Maclaurian series for the function   . .

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

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

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

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