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Integrate & differentiate power series

f(x)=n=0(1)nx2n+1(2n)!\displaystyle f(x)=\sum_{n=0}^{\infty}{{\left( -1 \right)}^{n}}\frac{{{x}^{2n+1}}}{\left( 2n \right)!}
f(0)=f'''(0)=