Find the value of \[ \frac{a}{a^{2}-b^{2}}+\frac{b}{a^{2}+b^{2}}+\frac{a}{b^{2}-a^{2}} \text {. } \]
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0Find the value of
\[
\frac{a}{a^{2}-b^{2}}+\frac{b}{a^{2}+b^{2}}+\frac{a}{b^{2}-a^{2}} \text {. }
\]
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