Power difference Limit rule in ratio form Problems and Solutions

Evaluate $\displaystyle \large \lim_{x\,\to\,2}{\normalsize \dfrac{\sqrt{x}-\sqrt{2}}{\sqrt[\Large 3]{x}-\sqrt[\Large 3]{2}}}$

Find $\displaystyle \large \lim_{x\,\to\,2}{\normalsize \dfrac{x^3-8}{x^2-4}}$

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