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Calculating Limit of Function – A quotient of functions with a third root – Exercise 5953

Exercise

Evaluate the following limit:

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

Final Answer


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

Solution

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