**Evaluate the Maclaurin series.**
$\displaystyle\pi -\frac{{{\pi }^{3}}}{3!}+\frac{{{\pi }^{5}}}{5!}-...+{{\left( -1 \right)}^{n}}\frac{{{\pi }^{2n+1}}}{\left( 2n+1 \right)!}+...$
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