Pieces of a Limit

Calculus Level 2

If the limit

limx0(sin2xx3+a+bx2)=0\lim _{ x\rightarrow 0 }{ \left( \frac { \sin { 2x } }{ { x }^{ 3 } } +a+\frac { b }{ { { x }^{ 2 } } } \right) } =0

is true for constants aa and bb, then what is the value of 3a+b?3a+b?

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