$\"\"$

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The function is $\"\"$ and $\"\"$ .

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$\"\"$ Taylor polynomial: $\"\"$ .

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

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

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

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

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Substitute the corresponding values in Taylor series.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ $\"\"$

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In sigma notation: $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .