Final Answer
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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 $x$
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$\lim_{x\to\infty }\left(\frac{\frac{\sqrt{4x^2-2}}{x}}{\frac{1-x}{x}}\right)$
Learn how to solve limits to infinity problems step by step online. Find the limit of ((4x^2-2)^1/2)/(1-x) as x 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 x. Rewrite the fraction, in such a way that both numerator and denominator are inside the exponent or radical. Separate the terms of both fractions. Simplify the fraction \frac{-x}{x} by x.