Final answer to the problem
$-2$
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Step-by-step Solution
Learn how to solve limits by rationalizing problems step by step online. Find the limit of (x^2-4x)^(1/2)-x as x approaches infinity. Applying rationalisation. Multiply and simplify the expression within the limit. Cancel like terms x^2 and -x^2. 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 .
Final answer to the problem
$-2$
