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9}}{z}^{3}+{\frac {2}{75}}{z}^{5}-{\frac {17}{2205}}{z}^{7}+{\frac {62
}{25515}}{z}^{9}-{\frac {1382}{1715175}}{z}^{11}+O \left( {z}^{13} \right) )</math>
==Pade approximation==
<math> {\it Tanhc} \left( z \right) = \left( 1+{\frac {7}{51}}\,{z}^{2}+{
\frac {1}{255}}\,{z}^{4}+{\frac {2}{69615}}\,{z}^{6}+{\frac {1}{
34459425}}\,{z}^{8} \right) \left( 1+{\frac {8}{17}}\,{z}^{2}+{\frac
{7}{255}}\,{z}^{4}+{\frac {4}{9945}}\,{z}^{6}+{\frac {1}{765765}}\,{z}
^{8} \right) ^{-1}
</math>
==Gallery==
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