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Consider the power series of the function $\"\"$ .

$\"\"$ .

In general, using additional terms provides an approximation that is closer to the actual value of $\"\"$ .

Consider the fourthpartial sum of $\"\"$ . \ \ $\"\"$

Similarly, consider the fifth partial sum of $\"\"$ .

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Similarly, consider the sixth partial sum of $\"\"$ .

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Using a calculator, the value of $\"\"$ is $\"\"$ . \ \ Therefore, as the number of terms increases, the approximation approaches the actual value of $\"\"$ for different values of $\"\"$ .

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As the number of terms increases, the approximation approaches the actual value of $\"\"$ for different values of $\"\"$ .