Final answer to the problem
0
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
Applying rationalisation
Learn how to solve limits by rationalizing problems step by step online.
$\lim_{x\to\infty }\left(\left(\sqrt{3x-2}-\sqrt{3x+4}\right)\frac{\sqrt{3x-2}+\sqrt{3x+4}}{\sqrt{3x-2}+\sqrt{3x+4}}\right)$
Learn how to solve limits by rationalizing problems step by step online. Find the limit of (3x-2)^(1/2)-(3x+4)^(1/2) as x approaches infinity. Applying rationalisation. Multiply and simplify the expression within the limit. Cancel like terms 3x and -3x. Evaluate the limit \lim_{x\to\infty }\left(\frac{-6}{\sqrt{3x-2}+\sqrt{3x+4}}\right) by replacing all occurrences of x by \infty .
Final answer to the problem
0
