# Calculus Early Transcendentals

Mathematics

## Quiz 8 :Series

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Approximate by a Taylor polynomial with degree at the number .
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D

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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 the Maclaurin series for using the definition of a Maclaurin serires.
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Find the sum of the 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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Approximate by a Taylor polynomial with degree at the number .
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Use series to approximate the definite integral to within the indicated accuracy.
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Evaluate the indefinite integral as an infinite series.
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Find a power series representation for the function and determine the interval of convergence.
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Approximate by a Taylor polynomial with degree at the number .
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Find the interval of convergence of the series.
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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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