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 \(a + b\)?
by
Alvin Willio