Final answer to the problem
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...
Applying rationalisation
Learn how to solve integrals of rational functions problems step by step online.
$\lim_{x\to\infty }\left(\left(6x-\sqrt{2x-1}\right)\frac{6x+\sqrt{2x-1}}{6x+\sqrt{2x-1}}\right)$
Learn how to solve integrals of rational functions problems step by step online. Find the limit of 6x-(2x-1)^(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. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is .
