More soviet limits

Calculus Level 2

If \(L=\displaystyle \lim_{x \rightarrow 1} \dfrac{\sqrt[3]{x}-1}{\sqrt{x}-1}\), and \(L\) can be represented in the form \( \dfrac{a}{b}\), find \(a-b\). Ensure that \(a\) and \(b\) are relatively prime.

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