Pieces of a Limit
Calculus
Level
2
If the limit
\[\lim _{ x\rightarrow 0 }{ \left( \frac { \sin { 2x } }{ { x }^{ 3 } } +a+\frac { b }{ { { x }^{ 2 } } } \right) } =0\]
is true for constants \(a\) and \(b\), then what is the value of \(3a+b?\)
by
Utkarsh Bansal