$\"\"$

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The power series is $\"\"$ .

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(a)

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Graph several partial terms of the series.

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$\"\"$ .

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Graph :

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Graph the partialsums.

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$\"\"$

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$\"\"$

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(b)

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Find the sum of the series and its radius of convergence.

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The power series is $\"\"$ .

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Since $\"\"$ .

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The series is converges in the interval $\"\"$ and the radius of convergence is $\"\"$ .

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$\"\"$

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(c)

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Find the approximate sum when $\"\"$ .

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The power series is $\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$ .

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$\"\"$

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(d)

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Find approximation error.

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$\"\"$

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$\"\"$ . $\"\"$

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(a)

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Graph :

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Graph the partialsums.

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$\"\"$

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(b) The series is converges in the interval $\"\"$ and the radius of convergence is $\"\"$ .

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(c) $\"\"$ .

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(d) The error is $\"\"$ .