Final answer to the problem
$\frac{9-\sqrt[3]{\left(3\right)^{2}}\sqrt[3]{\left(9\right)^{2}}}{2\left(3+\sqrt[3]{3}\sqrt[3]{9}\right)-6-2\sqrt[3]{3}\sqrt[3]{9}}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Can't find a method? Tell us so we can add it.
1
Factoring by $3$
$\lim_{x\to8}\left(\frac{3-\sqrt[3]{3\left(1+x\right)}}{\sqrt[3]{x}-2}\right)$
Learn how to solve problems step by step online.
$\lim_{x\to8}\left(\frac{3-\sqrt[3]{3\left(1+x\right)}}{\sqrt[3]{x}-2}\right)$
Learn how to solve problems step by step online. Find the limit of (3-(3x+3)^(1/3))/(x^(1/3)-2) as x approaches 8. Factoring by 3. The power of a product is equal to the product of it's factors raised to the same power. Applying rationalisation. Multiply and simplify the expression within the limit.
Final answer to the problem
$\frac{9-\sqrt[3]{\left(3\right)^{2}}\sqrt[3]{\left(9\right)^{2}}}{2\left(3+\sqrt[3]{3}\sqrt[3]{9}\right)-6-2\sqrt[3]{3}\sqrt[3]{9}}$
