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- Jan 26, 2012

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Evaluate the following limit without using l'Hôpital's rule.

\(\displaystyle \lim_{x\to 1}\frac{1}{2(1 - \sqrt{x})} - \frac{1}{3(1 - \sqrt[3]{x})}\).

Hint:

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\(\displaystyle \lim_{x\to 1}\frac{1}{2(1 - \sqrt{x})} - \frac{1}{3(1 - \sqrt[3]{x})}\).

Hint:

Use the substitution $x=u^6$.

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Remember to read the POTW submission guidelines to find out how to submit your answers!

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