$\"\"$

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The function is $\"\"$ .

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Maclaurin series of $\"\"$ :

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$\"\"$

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Then Maclaurin series of $\"\"$ is

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Maclaurin series of $\"\"$ is $\"\"$ .

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The radius of convergence for $\"\"$ is $\"\"$ .

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$\"\"$

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Graph:

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Graph of the functions $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph :

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when the value of $\"\"$ , the two graphs are overlaped.

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$\"\"$

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Maclaurin series of $\"\"$ is $\"\"$ .

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Graph:

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Graph of the functions $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph :

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when the value of $\"\"$ , the two graphs are completely overlap on each other.