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Approximate by a Taylor polynomial with degree at the number .

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Find a power series representation for the function and determine the interval of convergence.

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E

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Find a power series representation for the function and determine the interval of convergence.

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D

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Find the radius of convergence and the interval of convergence of the power series.

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Find the Taylor series for centered at the given value of
a. Assume that f has a power series expansion. Also find the associated radius of convergence.

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Find the Maclaurin series for f (x) using the definition of the Maclaurin series.

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Find a power series representation for the function and determine the interval of convergence.

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Find a power series representation for the function and determine the radius of convergence.

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Use series to approximate the definite integral to within the indicated accuracy.

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Find a power series representation for the function and determine the interval of convergence.

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Use the binomial series to expand the function as a power series. Find the radius of convergence.

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Find the radius of convergence and the interval of convergence of the power series.

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Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function.

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