Final answer to the problem
$-\frac{5}{6}$
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Step-by-step Solution
How should I solve this problem?
- Solve the limit using rationalization
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Load more...
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1
Applying rationalisation
$\lim_{x\to2}\left(\frac{3-\sqrt{5x-1}}{x-2}\frac{3+\sqrt{5x-1}}{3+\sqrt{5x-1}}\right)$
Learn how to solve problems step by step online.
$\lim_{x\to2}\left(\frac{3-\sqrt{5x-1}}{x-2}\frac{3+\sqrt{5x-1}}{3+\sqrt{5x-1}}\right)$
Learn how to solve problems step by step online. Find the limit of (3-(5x-1)^(1/2))/(x-2) as x approaches 2. Applying rationalisation. Multiply and simplify the expression within the limit. Add the values 9 and 1. Factor the polynomial 10-5x by it's greatest common factor (GCF): 5.
Final answer to the problem
$-\frac{5}{6}$
Exact Numeric Answer
$-0.8333333$
