$\"\"$

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The funcion is $\"\"$ .

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$\"\"$ .

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The power series form of $\"\"$ .

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Hence the poerseries form of $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Graph :

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Graph of the function

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$\"\"$ is

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$\"\"$

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The partial sums are $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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Observe the graph :

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As the value of $\"\"$ increases the approximation gets closer to $\"\"$ over a wider interval.

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$\"\"$

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The power series is $\"\"$

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Graph :

\

Graph of the function $\"\"$ is

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$\"\"$

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The partial sums are $\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

Observe the graph :

\

As the value of $\"\"$ increases the approximation gets closer to $\"\"$ over a wider interval.