Basic limit

Calculus Level 3

\[\large \lim _{ x \to 1}{ \frac { \sqrt { 4{ x }^{ 3 }+3x+2 } -\sqrt { 3{ x }^{ 2 }+x+5 } }{ { x }^{ 2 }+x-2 } } = \frac { a }{ b } \]

If the equation above holds true for coprime positive integers \(a\) and \(b\), what is \(a + b\)?

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