Final answer to the problem
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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 limits by rationalizing problems step by step online.
$\lim_{x\to4}\left(\frac{\sqrt{x-2}-\sqrt{2}}{\sqrt{x-1}-\sqrt{3}}\frac{\sqrt{x-2}+\sqrt{2}}{\sqrt{x-2}+\sqrt{2}}\right)$
Learn how to solve limits by rationalizing problems step by step online. Find the limit of ((x-2)^(1/2)-*2^(1/2))/((x-1)^(1/2)-*3^(1/2)) as x approaches 4. Applying rationalisation. Multiply and simplify the expression within the limit. Subtract the values -2 and -2. Multiply the single term \sqrt{x-2}+\sqrt{2} by each term of the polynomial \left(\sqrt{x-1}-\sqrt{3}\right).
Final answer to the problem
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