About Equation ATN.2.3.1.1
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\begin{equation*} 
\begin{split} 
\operatorname{arctan} (x)& =x - \frac{1}{3}   x^{3} + \frac{1}{5}   x^{5} - \frac{1}{7}   x^{7} + \frac{1}{9}   x^{9} - \frac{1}{11}   x^{11} + \frac{1}{13}   x^{13} - \frac{1}{15}   x^{15}  \\ 
& \quad{}\quad{}+ \operatorname{O} \bigl(x^{16}\bigr) 
\end{split} 
\end{equation*}
Absolute reference: ATN:asympt:0:RDLBLRDTERMSRDEQ
LaTeX encoding
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\operatorname{arctan} (x) = x - \frac{1}{3} x^{3} + \frac{1}{5} x^{5} - \frac{1}{7} x^{7} + \frac{1}{9} x^{9} - \frac{1}{11} x^{11} + \frac{1}{13} x^{13} - \frac{1}{15} x^{15} \\ \quad{}\quad{}+ \operatorname{O} \bigl(x^{16}\bigr)
Maple encoding
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`&operatorname`(arctan)(x) = series(1*x-1/3*x^3+1/5*x^5-1/7*x^7+1/9*x^9-1/11*x^11+1/13*x^13-1/15*x^15+O(x^16),x,16)
 
 
 
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