Limits Plus: III

Calculus Level 2

If

limx1x31x1=ab\lim _{ x\rightarrow 1 }{ \frac{ \sqrt [ 3 ]{ x}-1 } {\sqrt{x}-1}}=\frac{a}{b},

evaluate a+ba+b.


NOTE:

No L'Hôpital's Rule.


Problem credit: Calculus: 6E, James Stewart

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