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\[\large \frac { { x }^{ 4 } }{ 3-{ x }^{ 2 } } =\sum _{ n=1 }^{ \infty }{ \frac { { x }^{ 2n+a } }{ b^{ n } } }, \quad |x|<\sqrt { 3 } \]

Given this relationship, find \(a+b\).

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