Final answer to the 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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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
Learn how to solve limits by rationalizing problems step by step online.
$\lim_{n\to\infty }\left(\frac{\frac{2n}{\sqrt{n}}}{\frac{1-3\sqrt{n}}{\sqrt{n}}}\right)$
Learn how to solve limits by rationalizing problems step by step online. Find the limit of (2n)/(1-3n^(1/2)) as n approaches infinity. 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 . Rewrite the fraction, in such a way that both numerator and denominator are inside the exponent or radical. Separate the terms of both fractions. The power of a product is equal to the product of it's factors raised to the same power.
