Final answer to the problem
$\frac{1}{2}$
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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...
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1
Applying rationalisation
Learn how to solve limits by rationalizing problems step by step online.
$\lim_{x\to\infty }\left(\left(2x-\sqrt{4x^2-2x+2}\right)\frac{2x+\sqrt{4x^2-2x+2}}{2x+\sqrt{4x^2-2x+2}}\right)$
Learn how to solve limits by rationalizing problems step by step online. Find the limit of 2x-(4x^2-2x+2)^(1/2) as x approaches infinity. Applying rationalisation. Multiply and simplify the expression within the limit. The power of a product is equal to the product of it's factors raised to the same power. Cancel like terms 4x^2 and -4x^2.
Final answer to the problem
$\frac{1}{2}$
Exact Numeric Answer
$0.5$
