Know your limits! (IV)

Calculus Level 3

Evaluate \[\lim_{x\rightarrow1} \frac{x^{1/2}-(2-x)^{1/3}}{x^2+x-2} . \] If your answer can be expressed as \(\dfrac{a}{b}\) where \(a\) and \(b\) are coprime positive integers, find the value of \(a+b\).