Final answer to the problem
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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Simplify $\sqrt{x^3}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $\frac{1}{2}$
Learn how to solve limits by rationalizing problems step by step online.
$\lim_{x\to3}\left(\frac{\sqrt{x^{3}}-\sqrt{27}}{x-3}\right)$
Learn how to solve limits by rationalizing problems step by step online. Find the limit of (x^3^(1/2)-*27^(1/2))/(x-3) as x approaches 3. Simplify \sqrt{x^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{2}. Applying rationalisation. Multiply and simplify the expression within the limit. Simplify \left(\sqrt{x^{3}}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{3}{2} and n equals 2.
