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Step-by-step Solution
How should I solve this problem?
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- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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Applying rationalisation
Learn how to solve logarithmic differentiation problems step by step online.
$\lim_{x\to8}\left(\frac{2\sqrt[3]{x}-\sqrt{2}\sqrt{x}}{x-8}\frac{2\sqrt[3]{x}+\sqrt{2}\sqrt{x}}{2\sqrt[3]{x}+\sqrt{2}\sqrt{x}}\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the limit of (2x^(1/3)-*2^(1/2)x^(1/2))/(x-8) as x approaches 8. Applying rationalisation. Multiply and simplify the expression within the limit. The power of a product is equal to the product of it's factors raised to the same power. Multiply -1 times 2.
Final answer to the problem
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