$\"\"$

The function is $\"\"$ .

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

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

$\"\"$

$\"\"$ .

$\"\"$

Graph :

Graph the function $\"\"$ .

Graph the partial sums are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$

Observe the graph :

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

$\"\"$

The power series is $\"\"$ .

Graph:

Graph of the function $\"\"$ .

Graph of the partial sums are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$

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