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Calculating Limit of Function – A quotient of functions with square and third roots – Exercise 5936

Exercise

Evaluate the following limit:

\lim _ { x \rightarrow 1} \frac{\sqrt{x}-1}{\sqrt[3]{x}-1}

Final Answer


\lim _ { x \rightarrow 1} \frac{\sqrt{x}-1}{\sqrt[3]{x}-1}=\frac{3}{2}

Solution

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