$[0/1$ Points$]$

SCALCET$911\mathrm{.}9\mathrm{.}023.$

A graphing calculator is recommended.

Find a power series representation for $f.($Give your power series representation centered at $x=0.)$

Graph $f$ and several partial sums $s_f(x)$ on the same screen. What happens as $n$ increases? $($Enter your answer using interval notation.$)$

As $n$ increases, $s_n(x)$ approximates $f$ better on the interval of convergence, which is

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