Limits Plus: III

If

\(\lim _{ x\rightarrow 1 }{ \frac{ \sqrt [ 3 ]{ x}-1 } {\sqrt{x}-1}}=\frac{a}{b}\),

evaluate \(a+b\).


NOTE:

No L'Hôpital's Rule.


Problem credit: Calculus: 6E, James Stewart

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