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Let $$ f(x)=left{begin{array} {11} frac{cos (x)-1}{x} & x eq 0 0 & x=0 end{array} ight. $$ Find the power series representation of $f(x)

 

Let $$ f(x)=\left\{\begin{array} {11} \frac{\cos (x)-1}{x} & x eq 0 \\ 0 & x=0 \end{array} ight. $$ Find the power series representation of $f(x) $ and write down the first four non- zero terms of $\int f(x) d x$.

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