\"\"

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The function is \"\".

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(a)

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The maclaurin polynomials of the function \"\" are \"\", \"\" and \"\".

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\"\".

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\"\".

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\"\".

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\"\".

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Complete the table for different values of \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"
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\"\"

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(b)

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Graph:

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Graph the functions \"\" and maclaurin polynomials.

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\"\"

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\"\"

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(c)

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Observe the graph :

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As the distance increases, the polynomial approximation becomes less accurate.

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\"\"

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(a)

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Complete the table for different values of \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"
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(b)

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Graph:

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Graph of the functions \"\" and maclaurin polynomials is

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\"\"

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(c) As the distance increases, the polynomial approximation becomes less accurate.