Learn how to solve one-variable linear equations problems step by step online. Find the limit of (x-2)^(1/2)-(x-4)^(1/2) as x approaches infinity. Applying rationalisation. Multiply and simplify the expression within the limit. Cancel like terms x and -x. Evaluate the limit \lim_{x\to\infty }\left(\frac{2}{\sqrt{x-2}+\sqrt{x-4}}\right) by replacing all occurrences of x by \infty .

Find the limit of (x-2)^(1/2)-(x-4)^(1/2) as x approaches infinity